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Finding the Fourth Proportional to 3,446.12, 5,165.07 and 2,400.46

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Solution

The fourth proportional to 3,446.12, 5,165.07 and 2,400.46 is: 3,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.12 : 5,165.07 = 2,400.46 : x
  2. Step 2: Convert to fraction form
    3,446.12/5,165.07 = 2,400.46/x
  3. Step 3: Cross multiply
    3,446.12x = 5,165.07 × 2,400.46
  4. Step 4: Simplify right side
    3,446.12x = 12,398,543.93
  5. Step 5: Solve for x
    x = 12,398,543.93/3,446.12
  6. Step 6: Final answer
    x = 3,597.83

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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.