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Finding the Fourth Proportional to 4,146.48, 5,720.13 and 2,377.62

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Solution

The fourth proportional to 4,146.48, 5,720.13 and 2,377.62 is: 3,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.48 : 5,720.13 = 2,377.62 : x
  2. Step 2: Convert to fraction form
    4,146.48/5,720.13 = 2,377.62/x
  3. Step 3: Cross multiply
    4,146.48x = 5,720.13 × 2,377.62
  4. Step 4: Simplify right side
    4,146.48x = 13,600,295.49
  5. Step 5: Solve for x
    x = 13,600,295.49/4,146.48
  6. Step 6: Final answer
    x = 3,279.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.