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Finding the Fourth Proportional to 4,132.76, 5,702.70 and 2,454.20

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Solution

The fourth proportional to 4,132.76, 5,702.70 and 2,454.20 is: 3,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.76 : 5,702.70 = 2,454.20 : x
  2. Step 2: Convert to fraction form
    4,132.76/5,702.70 = 2,454.20/x
  3. Step 3: Cross multiply
    4,132.76x = 5,702.70 × 2,454.20
  4. Step 4: Simplify right side
    4,132.76x = 13,995,566.34
  5. Step 5: Solve for x
    x = 13,995,566.34/4,132.76
  6. Step 6: Final answer
    x = 3,386.49

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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.