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Finding the Fourth Proportional to 5,342.04, 8,000.10 and 3,693.96

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Solution

The fourth proportional to 5,342.04, 8,000.10 and 3,693.96 is: 5,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.04 : 8,000.10 = 3,693.96 : x
  2. Step 2: Convert to fraction form
    5,342.04/8,000.10 = 3,693.96/x
  3. Step 3: Cross multiply
    5,342.04x = 8,000.10 × 3,693.96
  4. Step 4: Simplify right side
    5,342.04x = 29,552,049.40
  5. Step 5: Solve for x
    x = 29,552,049.40/5,342.04
  6. Step 6: Final answer
    x = 5,531.98

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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.