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Finding the Fourth Proportional to 5,657.98, 8,486.96 and 3,191.68

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Solution

The fourth proportional to 5,657.98, 8,486.96 and 3,191.68 is: 4,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.98 : 8,486.96 = 3,191.68 : x
  2. Step 2: Convert to fraction form
    5,657.98/8,486.96 = 3,191.68/x
  3. Step 3: Cross multiply
    5,657.98x = 8,486.96 × 3,191.68
  4. Step 4: Simplify right side
    5,657.98x = 27,087,602.10
  5. Step 5: Solve for x
    x = 27,087,602.10/5,657.98
  6. Step 6: Final answer
    x = 4,787.51

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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.