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Finding the Fourth Proportional to 3,785.60, 5,678.40 and 3,708.80

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Solution

The fourth proportional to 3,785.60, 5,678.40 and 3,708.80 is: 5,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.60 : 5,678.40 = 3,708.80 : x
  2. Step 2: Convert to fraction form
    3,785.60/5,678.40 = 3,708.80/x
  3. Step 3: Cross multiply
    3,785.60x = 5,678.40 × 3,708.80
  4. Step 4: Simplify right side
    3,785.60x = 21,060,049.92
  5. Step 5: Solve for x
    x = 21,060,049.92/3,785.60
  6. Step 6: Final answer
    x = 5,563.20

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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.