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Finding the Fourth Proportional to 4,714.26, 7,062.95 and 3,149.53

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Solution

The fourth proportional to 4,714.26, 7,062.95 and 3,149.53 is: 4,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.26 : 7,062.95 = 3,149.53 : x
  2. Step 2: Convert to fraction form
    4,714.26/7,062.95 = 3,149.53/x
  3. Step 3: Cross multiply
    4,714.26x = 7,062.95 × 3,149.53
  4. Step 4: Simplify right side
    4,714.26x = 22,244,963.13
  5. Step 5: Solve for x
    x = 22,244,963.13/4,714.26
  6. Step 6: Final answer
    x = 4,718.65

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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.