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Finding the Fourth Proportional to 5,646.64, 8,471.70 and 2,529.28

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Solution

The fourth proportional to 5,646.64, 8,471.70 and 2,529.28 is: 3,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.64 : 8,471.70 = 2,529.28 : x
  2. Step 2: Convert to fraction form
    5,646.64/8,471.70 = 2,529.28/x
  3. Step 3: Cross multiply
    5,646.64x = 8,471.70 × 2,529.28
  4. Step 4: Simplify right side
    5,646.64x = 21,427,301.38
  5. Step 5: Solve for x
    x = 21,427,301.38/5,646.64
  6. Step 6: Final answer
    x = 3,794.70

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