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Finding the Fourth Proportional to 3,472.52, 5,207.24 and 1,624.16

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Solution

The fourth proportional to 3,472.52, 5,207.24 and 1,624.16 is: 2,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.52 : 5,207.24 = 1,624.16 : x
  2. Step 2: Convert to fraction form
    3,472.52/5,207.24 = 1,624.16/x
  3. Step 3: Cross multiply
    3,472.52x = 5,207.24 × 1,624.16
  4. Step 4: Simplify right side
    3,472.52x = 8,457,390.92
  5. Step 5: Solve for x
    x = 8,457,390.92/3,472.52
  6. Step 6: Final answer
    x = 2,435.52

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1.5x scale

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.