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Finding the Fourth Proportional to 4,281.04, 6,414.24 and 3,459.70

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Solution

The fourth proportional to 4,281.04, 6,414.24 and 3,459.70 is: 5,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.04 : 6,414.24 = 3,459.70 : x
  2. Step 2: Convert to fraction form
    4,281.04/6,414.24 = 3,459.70/x
  3. Step 3: Cross multiply
    4,281.04x = 6,414.24 × 3,459.70
  4. Step 4: Simplify right side
    4,281.04x = 22,191,346.13
  5. Step 5: Solve for x
    x = 22,191,346.13/4,281.04
  6. Step 6: Final answer
    x = 5,183.63

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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.