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Finding the Fourth Proportional to 3,517.16, 4,864.16 and 3,143.55

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Solution

The fourth proportional to 3,517.16, 4,864.16 and 3,143.55 is: 4,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.16 : 4,864.16 = 3,143.55 : x
  2. Step 2: Convert to fraction form
    3,517.16/4,864.16 = 3,143.55/x
  3. Step 3: Cross multiply
    3,517.16x = 4,864.16 × 3,143.55
  4. Step 4: Simplify right side
    3,517.16x = 15,290,714.45
  5. Step 5: Solve for x
    x = 15,290,714.45/3,517.16
  6. Step 6: Final answer
    x = 4,347.46

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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.