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Finding the Fourth Proportional to 5,047.92, 7,572.06 and 1,585.08

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Solution

The fourth proportional to 5,047.92, 7,572.06 and 1,585.08 is: 2,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.92 : 7,572.06 = 1,585.08 : x
  2. Step 2: Convert to fraction form
    5,047.92/7,572.06 = 1,585.08/x
  3. Step 3: Cross multiply
    5,047.92x = 7,572.06 × 1,585.08
  4. Step 4: Simplify right side
    5,047.92x = 12,002,320.86
  5. Step 5: Solve for x
    x = 12,002,320.86/5,047.92
  6. Step 6: Final answer
    x = 2,377.68

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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.