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Finding the Fourth Proportional to 5,355.75, 8,033.62 and 1,657.90

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Solution

The fourth proportional to 5,355.75, 8,033.62 and 1,657.90 is: 2,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.75 : 8,033.62 = 1,657.90 : x
  2. Step 2: Convert to fraction form
    5,355.75/8,033.62 = 1,657.90/x
  3. Step 3: Cross multiply
    5,355.75x = 8,033.62 × 1,657.90
  4. Step 4: Simplify right side
    5,355.75x = 13,318,938.60
  5. Step 5: Solve for x
    x = 13,318,938.60/5,355.75
  6. Step 6: Final answer
    x = 2,486.85

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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.