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Finding the Fourth Proportional to 4,774.68, 7,162.14 and 1,311.90

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Solution

The fourth proportional to 4,774.68, 7,162.14 and 1,311.90 is: 1,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.68 : 7,162.14 = 1,311.90 : x
  2. Step 2: Convert to fraction form
    4,774.68/7,162.14 = 1,311.90/x
  3. Step 3: Cross multiply
    4,774.68x = 7,162.14 × 1,311.90
  4. Step 4: Simplify right side
    4,774.68x = 9,396,011.47
  5. Step 5: Solve for x
    x = 9,396,011.47/4,774.68
  6. Step 6: Final answer
    x = 1,967.88

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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.