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Finding the Fourth Proportional to 3,459.60, 5,189.42 and 994.52

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Solution

The fourth proportional to 3,459.60, 5,189.42 and 994.52 is: 1,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.60 : 5,189.42 = 994.52 : x
  2. Step 2: Convert to fraction form
    3,459.60/5,189.42 = 994.52/x
  3. Step 3: Cross multiply
    3,459.60x = 5,189.42 × 994.52
  4. Step 4: Simplify right side
    3,459.60x = 5,160,981.98
  5. Step 5: Solve for x
    x = 5,160,981.98/3,459.60
  6. Step 6: Final answer
    x = 1,491.79

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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.