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Finding the Fourth Proportional to 4,129.29, 5,697.86 and 2,361.02

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Solution

The fourth proportional to 4,129.29, 5,697.86 and 2,361.02 is: 3,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.29 : 5,697.86 = 2,361.02 : x
  2. Step 2: Convert to fraction form
    4,129.29/5,697.86 = 2,361.02/x
  3. Step 3: Cross multiply
    4,129.29x = 5,697.86 × 2,361.02
  4. Step 4: Simplify right side
    4,129.29x = 13,452,721.12
  5. Step 5: Solve for x
    x = 13,452,721.12/4,129.29
  6. Step 6: Final answer
    x = 3,257.88

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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.