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Finding the Fourth Proportional to 5,674,877.82, 7,831,503.90 and 3,227,840.82

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Solution

The fourth proportional to 5,674,877.82, 7,831,503.90 and 3,227,840.82 is: 4,454,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,877.82 : 7,831,503.90 = 3,227,840.82 : x
  2. Step 2: Convert to fraction form
    5,674,877.82/7,831,503.90 = 3,227,840.82/x
  3. Step 3: Cross multiply
    5,674,877.82x = 7,831,503.90 × 3,227,840.82
  4. Step 4: Simplify right side
    5,674,877.82x = 25,278,847,970,409.20
  5. Step 5: Solve for x
    x = 25,278,847,970,409.20/5,674,877.82
  6. Step 6: Final answer
    x = 4,454,518.45

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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.