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Finding the Fourth Proportional to 3,449.95, 5,159.03 and 2,562.16

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Solution

The fourth proportional to 3,449.95, 5,159.03 and 2,562.16 is: 3,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.95 : 5,159.03 = 2,562.16 : x
  2. Step 2: Convert to fraction form
    3,449.95/5,159.03 = 2,562.16/x
  3. Step 3: Cross multiply
    3,449.95x = 5,159.03 × 2,562.16
  4. Step 4: Simplify right side
    3,449.95x = 13,218,260.26
  5. Step 5: Solve for x
    x = 13,218,260.26/3,449.95
  6. Step 6: Final answer
    x = 3,831.43

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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.