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Finding the Fourth Proportional to 3,785.60, 5,684.80 and 3,670.40

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Solution

The fourth proportional to 3,785.60, 5,684.80 and 3,670.40 is: 5,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.60 : 5,684.80 = 3,670.40 : x
  2. Step 2: Convert to fraction form
    3,785.60/5,684.80 = 3,670.40/x
  3. Step 3: Cross multiply
    3,785.60x = 5,684.80 × 3,670.40
  4. Step 4: Simplify right side
    3,785.60x = 20,865,489.92
  5. Step 5: Solve for x
    x = 20,865,489.92/3,785.60
  6. Step 6: Final answer
    x = 5,511.81

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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.