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Finding the Fourth Proportional to 5,414.32, 8,117.12 and 3,358

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Solution

The fourth proportional to 5,414.32, 8,117.12 and 3,358 is: 5,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.32 : 8,117.12 = 3,358 : x
  2. Step 2: Convert to fraction form
    5,414.32/8,117.12 = 3,358/x
  3. Step 3: Cross multiply
    5,414.32x = 8,117.12 × 3,358
  4. Step 4: Simplify right side
    5,414.32x = 27,257,288.96
  5. Step 5: Solve for x
    x = 27,257,288.96/5,414.32
  6. Step 6: Final answer
    x = 5,034.30

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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.