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Finding the Fourth Proportional to 5,278.10, 7,909.86 and 5,120.42

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Solution

The fourth proportional to 5,278.10, 7,909.86 and 5,120.42 is: 7,673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.10 : 7,909.86 = 5,120.42 : x
  2. Step 2: Convert to fraction form
    5,278.10/7,909.86 = 5,120.42/x
  3. Step 3: Cross multiply
    5,278.10x = 7,909.86 × 5,120.42
  4. Step 4: Simplify right side
    5,278.10x = 40,501,805.34
  5. Step 5: Solve for x
    x = 40,501,805.34/5,278.10
  6. Step 6: Final answer
    x = 7,673.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.