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Finding the Fourth Proportional to 4,092.66, 5,644.40 and 3,457.71

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Solution

The fourth proportional to 4,092.66, 5,644.40 and 3,457.71 is: 4,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.66 : 5,644.40 = 3,457.71 : x
  2. Step 2: Convert to fraction form
    4,092.66/5,644.40 = 3,457.71/x
  3. Step 3: Cross multiply
    4,092.66x = 5,644.40 × 3,457.71
  4. Step 4: Simplify right side
    4,092.66x = 19,516,681.04
  5. Step 5: Solve for x
    x = 19,516,681.04/4,092.66
  6. Step 6: Final answer
    x = 4,768.70

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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.