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Finding the Fourth Proportional to 4,773.20, 7,158.92 and 1,310.42

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Solution

The fourth proportional to 4,773.20, 7,158.92 and 1,310.42 is: 1,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.20 : 7,158.92 = 1,310.42 : x
  2. Step 2: Convert to fraction form
    4,773.20/7,158.92 = 1,310.42/x
  3. Step 3: Cross multiply
    4,773.20x = 7,158.92 × 1,310.42
  4. Step 4: Simplify right side
    4,773.20x = 9,381,191.95
  5. Step 5: Solve for x
    x = 9,381,191.95/4,773.20
  6. Step 6: Final answer
    x = 1,965.39

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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.