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Finding the Fourth Proportional to 5,691,822.32, 7,854,611.64 and 3,113,480.54

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Solution

The fourth proportional to 5,691,822.32, 7,854,611.64 and 3,113,480.54 is: 4,296,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691,822.32 : 7,854,611.64 = 3,113,480.54 : x
  2. Step 2: Convert to fraction form
    5,691,822.32/7,854,611.64 = 3,113,480.54/x
  3. Step 3: Cross multiply
    5,691,822.32x = 7,854,611.64 × 3,113,480.54
  4. Step 4: Simplify right side
    5,691,822.32x = 24,455,180,490,397.48
  5. Step 5: Solve for x
    x = 24,455,180,490,397.48/5,691,822.32
  6. Step 6: Final answer
    x = 4,296,546.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.