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Finding the Fourth Proportional to 5,637.88, 8,456.72 and 1,689.14

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Solution

The fourth proportional to 5,637.88, 8,456.72 and 1,689.14 is: 2,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.88 : 8,456.72 = 1,689.14 : x
  2. Step 2: Convert to fraction form
    5,637.88/8,456.72 = 1,689.14/x
  3. Step 3: Cross multiply
    5,637.88x = 8,456.72 × 1,689.14
  4. Step 4: Simplify right side
    5,637.88x = 14,284,584.02
  5. Step 5: Solve for x
    x = 14,284,584.02/5,637.88
  6. Step 6: Final answer
    x = 2,533.68

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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.