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Finding the Fourth Proportional to 5,337.57, 8,006.78 and 1,441.92

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Solution

The fourth proportional to 5,337.57, 8,006.78 and 1,441.92 is: 2,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.57 : 8,006.78 = 1,441.92 : x
  2. Step 2: Convert to fraction form
    5,337.57/8,006.78 = 1,441.92/x
  3. Step 3: Cross multiply
    5,337.57x = 8,006.78 × 1,441.92
  4. Step 4: Simplify right side
    5,337.57x = 11,545,088.97
  5. Step 5: Solve for x
    x = 11,545,088.97/5,337.57
  6. Step 6: Final answer
    x = 2,162.99

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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.