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Finding the Fourth Proportional to 5,059.56, 7,585.68 and 3,412.02

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Solution

The fourth proportional to 5,059.56, 7,585.68 and 3,412.02 is: 5,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.56 : 7,585.68 = 3,412.02 : x
  2. Step 2: Convert to fraction form
    5,059.56/7,585.68 = 3,412.02/x
  3. Step 3: Cross multiply
    5,059.56x = 7,585.68 × 3,412.02
  4. Step 4: Simplify right side
    5,059.56x = 25,882,491.87
  5. Step 5: Solve for x
    x = 25,882,491.87/5,059.56
  6. Step 6: Final answer
    x = 5,115.56

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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.