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Finding the Fourth Proportional to 5,426.38, 7,487.60 and 3,068.47

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Solution

The fourth proportional to 5,426.38, 7,487.60 and 3,068.47 is: 4,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.38 : 7,487.60 = 3,068.47 : x
  2. Step 2: Convert to fraction form
    5,426.38/7,487.60 = 3,068.47/x
  3. Step 3: Cross multiply
    5,426.38x = 7,487.60 × 3,068.47
  4. Step 4: Simplify right side
    5,426.38x = 22,975,475.97
  5. Step 5: Solve for x
    x = 22,975,475.97/5,426.38
  6. Step 6: Final answer
    x = 4,234.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.