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Finding the Fourth Proportional to 5,637.98, 8,454.31 and 1,687.71

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Solution

The fourth proportional to 5,637.98, 8,454.31 and 1,687.71 is: 2,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.98 : 8,454.31 = 1,687.71 : x
  2. Step 2: Convert to fraction form
    5,637.98/8,454.31 = 1,687.71/x
  3. Step 3: Cross multiply
    5,637.98x = 8,454.31 × 1,687.71
  4. Step 4: Simplify right side
    5,637.98x = 14,268,451.01
  5. Step 5: Solve for x
    x = 14,268,451.01/5,637.98
  6. Step 6: Final answer
    x = 2,530.77

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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.