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Finding the Fourth Proportional to 3,425.42, 4,727.13 and 2,165.16

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Solution

The fourth proportional to 3,425.42, 4,727.13 and 2,165.16 is: 2,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.42 : 4,727.13 = 2,165.16 : x
  2. Step 2: Convert to fraction form
    3,425.42/4,727.13 = 2,165.16/x
  3. Step 3: Cross multiply
    3,425.42x = 4,727.13 × 2,165.16
  4. Step 4: Simplify right side
    3,425.42x = 10,235,002.40
  5. Step 5: Solve for x
    x = 10,235,002.40/3,425.42
  6. Step 6: Final answer
    x = 2,987.95

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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.