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Finding the Fourth Proportional to 3,382, 5,073.64 and 1,558

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Solution

The fourth proportional to 3,382, 5,073.64 and 1,558 is: 2,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382 : 5,073.64 = 1,558 : x
  2. Step 2: Convert to fraction form
    3,382/5,073.64 = 1,558/x
  3. Step 3: Cross multiply
    3,382x = 5,073.64 × 1,558
  4. Step 4: Simplify right side
    3,382x = 7,904,731.12
  5. Step 5: Solve for x
    x = 7,904,731.12/3,382
  6. Step 6: Final answer
    x = 2,337.29

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Why These Related Problems?

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