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Finding the Fourth Proportional to 5,659.71, 7,808.25 and 4,171.17

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Solution

The fourth proportional to 5,659.71, 7,808.25 and 4,171.17 is: 5,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.71 : 7,808.25 = 4,171.17 : x
  2. Step 2: Convert to fraction form
    5,659.71/7,808.25 = 4,171.17/x
  3. Step 3: Cross multiply
    5,659.71x = 7,808.25 × 4,171.17
  4. Step 4: Simplify right side
    5,659.71x = 32,569,538.15
  5. Step 5: Solve for x
    x = 32,569,538.15/5,659.71
  6. Step 6: Final answer
    x = 5,754.63

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