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Finding the Fourth Proportional to 4,132.58, 5,702.24 and 2,363.80

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Solution

The fourth proportional to 4,132.58, 5,702.24 and 2,363.80 is: 3,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.58 : 5,702.24 = 2,363.80 : x
  2. Step 2: Convert to fraction form
    4,132.58/5,702.24 = 2,363.80/x
  3. Step 3: Cross multiply
    4,132.58x = 5,702.24 × 2,363.80
  4. Step 4: Simplify right side
    4,132.58x = 13,478,954.91
  5. Step 5: Solve for x
    x = 13,478,954.91/4,132.58
  6. Step 6: Final answer
    x = 3,261.63

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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.