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Finding the Fourth Proportional to 5,273.24, 7,909.86 and 1,377.62

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Solution

The fourth proportional to 5,273.24, 7,909.86 and 1,377.62 is: 2,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.24 : 7,909.86 = 1,377.62 : x
  2. Step 2: Convert to fraction form
    5,273.24/7,909.86 = 1,377.62/x
  3. Step 3: Cross multiply
    5,273.24x = 7,909.86 × 1,377.62
  4. Step 4: Simplify right side
    5,273.24x = 10,896,741.78
  5. Step 5: Solve for x
    x = 10,896,741.78/5,273.24
  6. Step 6: Final answer
    x = 2,066.42

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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.