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Finding the Fourth Proportional to 3,740.80, 5,600.40 and 2,282.80

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Solution

The fourth proportional to 3,740.80, 5,600.40 and 2,282.80 is: 3,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.80 : 5,600.40 = 2,282.80 : x
  2. Step 2: Convert to fraction form
    3,740.80/5,600.40 = 2,282.80/x
  3. Step 3: Cross multiply
    3,740.80x = 5,600.40 × 2,282.80
  4. Step 4: Simplify right side
    3,740.80x = 12,784,593.12
  5. Step 5: Solve for x
    x = 12,784,593.12/3,740.80
  6. Step 6: Final answer
    x = 3,417.61

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