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Finding the Fourth Proportional to 3,724.52, 5,585.87 and 1,532.87

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Solution

The fourth proportional to 3,724.52, 5,585.87 and 1,532.87 is: 2,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.52 : 5,585.87 = 1,532.87 : x
  2. Step 2: Convert to fraction form
    3,724.52/5,585.87 = 1,532.87/x
  3. Step 3: Cross multiply
    3,724.52x = 5,585.87 × 1,532.87
  4. Step 4: Simplify right side
    3,724.52x = 8,562,388.45
  5. Step 5: Solve for x
    x = 8,562,388.45/3,724.52
  6. Step 6: Final answer
    x = 2,298.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.