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Finding the Fourth Proportional to 4,129.47, 5,699.12 and 2,714.31

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Solution

The fourth proportional to 4,129.47, 5,699.12 and 2,714.31 is: 3,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.47 : 5,699.12 = 2,714.31 : x
  2. Step 2: Convert to fraction form
    4,129.47/5,699.12 = 2,714.31/x
  3. Step 3: Cross multiply
    4,129.47x = 5,699.12 × 2,714.31
  4. Step 4: Simplify right side
    4,129.47x = 15,469,164.84
  5. Step 5: Solve for x
    x = 15,469,164.84/4,129.47
  6. Step 6: Final answer
    x = 3,746.04

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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.