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Finding the Fourth Proportional to 3,785.49, 5,678.19 and 1,594.17

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Solution

The fourth proportional to 3,785.49, 5,678.19 and 1,594.17 is: 2,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.49 : 5,678.19 = 1,594.17 : x
  2. Step 2: Convert to fraction form
    3,785.49/5,678.19 = 1,594.17/x
  3. Step 3: Cross multiply
    3,785.49x = 5,678.19 × 1,594.17
  4. Step 4: Simplify right side
    3,785.49x = 9,052,000.15
  5. Step 5: Solve for x
    x = 9,052,000.15/3,785.49
  6. Step 6: Final answer
    x = 2,391.24

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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.