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Finding the Fourth Proportional to 4,032.64, 5,564.14 and 2,264.13

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Solution

The fourth proportional to 4,032.64, 5,564.14 and 2,264.13 is: 3,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.64 : 5,564.14 = 2,264.13 : x
  2. Step 2: Convert to fraction form
    4,032.64/5,564.14 = 2,264.13/x
  3. Step 3: Cross multiply
    4,032.64x = 5,564.14 × 2,264.13
  4. Step 4: Simplify right side
    4,032.64x = 12,597,947.38
  5. Step 5: Solve for x
    x = 12,597,947.38/4,032.64
  6. Step 6: Final answer
    x = 3,123.99

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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.