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Finding the Fourth Proportional to 3,881.64, 5,822.88 and 1,415.88

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Solution

The fourth proportional to 3,881.64, 5,822.88 and 1,415.88 is: 2,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.64 : 5,822.88 = 1,415.88 : x
  2. Step 2: Convert to fraction form
    3,881.64/5,822.88 = 1,415.88/x
  3. Step 3: Cross multiply
    3,881.64x = 5,822.88 × 1,415.88
  4. Step 4: Simplify right side
    3,881.64x = 8,244,499.33
  5. Step 5: Solve for x
    x = 8,244,499.33/3,881.64
  6. Step 6: Final answer
    x = 2,123.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.