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Finding the Fourth Proportional to 3,565.60, 5,337.60 and 3,176.80

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Solution

The fourth proportional to 3,565.60, 5,337.60 and 3,176.80 is: 4,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.60 : 5,337.60 = 3,176.80 : x
  2. Step 2: Convert to fraction form
    3,565.60/5,337.60 = 3,176.80/x
  3. Step 3: Cross multiply
    3,565.60x = 5,337.60 × 3,176.80
  4. Step 4: Simplify right side
    3,565.60x = 16,956,487.68
  5. Step 5: Solve for x
    x = 16,956,487.68/3,565.60
  6. Step 6: Final answer
    x = 4,755.58

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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.