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Finding the Fourth Proportional to 5,614.32, 8,412.84 and 3,558

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Solution

The fourth proportional to 5,614.32, 8,412.84 and 3,558 is: 5,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.32 : 8,412.84 = 3,558 : x
  2. Step 2: Convert to fraction form
    5,614.32/8,412.84 = 3,558/x
  3. Step 3: Cross multiply
    5,614.32x = 8,412.84 × 3,558
  4. Step 4: Simplify right side
    5,614.32x = 29,932,884.72
  5. Step 5: Solve for x
    x = 29,932,884.72/5,614.32
  6. Step 6: Final answer
    x = 5,331.52

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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.