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Finding the Fourth Proportional to 3,785.38, 5,677.62 and 1,320

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Solution

The fourth proportional to 3,785.38, 5,677.62 and 1,320 is: 1,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.38 : 5,677.62 = 1,320 : x
  2. Step 2: Convert to fraction form
    3,785.38/5,677.62 = 1,320/x
  3. Step 3: Cross multiply
    3,785.38x = 5,677.62 × 1,320
  4. Step 4: Simplify right side
    3,785.38x = 7,494,458.40
  5. Step 5: Solve for x
    x = 7,494,458.40/3,785.38
  6. Step 6: Final answer
    x = 1,979.84

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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.