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Finding the Fourth Proportional to 5,732.29, 8,598.14 and 1,572.23

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Solution

The fourth proportional to 5,732.29, 8,598.14 and 1,572.23 is: 2,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.29 : 8,598.14 = 1,572.23 : x
  2. Step 2: Convert to fraction form
    5,732.29/8,598.14 = 1,572.23/x
  3. Step 3: Cross multiply
    5,732.29x = 8,598.14 × 1,572.23
  4. Step 4: Simplify right side
    5,732.29x = 13,518,253.65
  5. Step 5: Solve for x
    x = 13,518,253.65/5,732.29
  6. Step 6: Final answer
    x = 2,358.26

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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.