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Finding the Fourth Proportional to 5,074.82, 7,611.20 and 1,377.31

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Solution

The fourth proportional to 5,074.82, 7,611.20 and 1,377.31 is: 2,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.82 : 7,611.20 = 1,377.31 : x
  2. Step 2: Convert to fraction form
    5,074.82/7,611.20 = 1,377.31/x
  3. Step 3: Cross multiply
    5,074.82x = 7,611.20 × 1,377.31
  4. Step 4: Simplify right side
    5,074.82x = 10,482,966.29
  5. Step 5: Solve for x
    x = 10,482,966.29/5,074.82
  6. Step 6: Final answer
    x = 2,065.68

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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.