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Finding the Fourth Proportional to 5,703.72, 7,874.61 and 5,350.76

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Solution

The fourth proportional to 5,703.72, 7,874.61 and 5,350.76 is: 7,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.72 : 7,874.61 = 5,350.76 : x
  2. Step 2: Convert to fraction form
    5,703.72/7,874.61 = 5,350.76/x
  3. Step 3: Cross multiply
    5,703.72x = 7,874.61 × 5,350.76
  4. Step 4: Simplify right side
    5,703.72x = 42,135,148.20
  5. Step 5: Solve for x
    x = 42,135,148.20/5,703.72
  6. Step 6: Final answer
    x = 7,387.31

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