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Finding the Fourth Proportional to 3,444.58, 5,162.25 and 1,686.89

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Solution

The fourth proportional to 3,444.58, 5,162.25 and 1,686.89 is: 2,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.58 : 5,162.25 = 1,686.89 : x
  2. Step 2: Convert to fraction form
    3,444.58/5,162.25 = 1,686.89/x
  3. Step 3: Cross multiply
    3,444.58x = 5,162.25 × 1,686.89
  4. Step 4: Simplify right side
    3,444.58x = 8,708,147.90
  5. Step 5: Solve for x
    x = 8,708,147.90/3,444.58
  6. Step 6: Final answer
    x = 2,528.07

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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.