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Finding the Fourth Proportional to 5,634.88, 8,452.21 and 1,686.14

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Solution

The fourth proportional to 5,634.88, 8,452.21 and 1,686.14 is: 2,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.88 : 8,452.21 = 1,686.14 : x
  2. Step 2: Convert to fraction form
    5,634.88/8,452.21 = 1,686.14/x
  3. Step 3: Cross multiply
    5,634.88x = 8,452.21 × 1,686.14
  4. Step 4: Simplify right side
    5,634.88x = 14,251,609.37
  5. Step 5: Solve for x
    x = 14,251,609.37/5,634.88
  6. Step 6: Final answer
    x = 2,529.18

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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.