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Finding the Fourth Proportional to 5,435.98, 8,155.14 and 1,687.68

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Solution

The fourth proportional to 5,435.98, 8,155.14 and 1,687.68 is: 2,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.98 : 8,155.14 = 1,687.68 : x
  2. Step 2: Convert to fraction form
    5,435.98/8,155.14 = 1,687.68/x
  3. Step 3: Cross multiply
    5,435.98x = 8,155.14 × 1,687.68
  4. Step 4: Simplify right side
    5,435.98x = 13,763,266.68
  5. Step 5: Solve for x
    x = 13,763,266.68/5,435.98
  6. Step 6: Final answer
    x = 2,531.88

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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.