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Finding the Fourth Proportional to 4,141.59, 5,715.31 and 2,253.13

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Solution

The fourth proportional to 4,141.59, 5,715.31 and 2,253.13 is: 3,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.59 : 5,715.31 = 2,253.13 : x
  2. Step 2: Convert to fraction form
    4,141.59/5,715.31 = 2,253.13/x
  3. Step 3: Cross multiply
    4,141.59x = 5,715.31 × 2,253.13
  4. Step 4: Simplify right side
    4,141.59x = 12,877,336.42
  5. Step 5: Solve for x
    x = 12,877,336.42/4,141.59
  6. Step 6: Final answer
    x = 3,109.27

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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.