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Finding the Fourth Proportional to 3,418.88, 5,125.08 and 1,686.56

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Solution

The fourth proportional to 3,418.88, 5,125.08 and 1,686.56 is: 2,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.88 : 5,125.08 = 1,686.56 : x
  2. Step 2: Convert to fraction form
    3,418.88/5,125.08 = 1,686.56/x
  3. Step 3: Cross multiply
    3,418.88x = 5,125.08 × 1,686.56
  4. Step 4: Simplify right side
    3,418.88x = 8,643,754.92
  5. Step 5: Solve for x
    x = 8,643,754.92/3,418.88
  6. Step 6: Final answer
    x = 2,528.24

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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.