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Finding the Fourth Proportional to 3,657.25, 5,486.15 and 1,191.88

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Solution

The fourth proportional to 3,657.25, 5,486.15 and 1,191.88 is: 1,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.25 : 5,486.15 = 1,191.88 : x
  2. Step 2: Convert to fraction form
    3,657.25/5,486.15 = 1,191.88/x
  3. Step 3: Cross multiply
    3,657.25x = 5,486.15 × 1,191.88
  4. Step 4: Simplify right side
    3,657.25x = 6,538,832.46
  5. Step 5: Solve for x
    x = 6,538,832.46/3,657.25
  6. Step 6: Final answer
    x = 1,787.91

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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.