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Finding the Fourth Proportional to 3,657.26, 5,486.35 and 1,191.42

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Solution

The fourth proportional to 3,657.26, 5,486.35 and 1,191.42 is: 1,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.26 : 5,486.35 = 1,191.42 : x
  2. Step 2: Convert to fraction form
    3,657.26/5,486.35 = 1,191.42/x
  3. Step 3: Cross multiply
    3,657.26x = 5,486.35 × 1,191.42
  4. Step 4: Simplify right side
    3,657.26x = 6,536,544.14
  5. Step 5: Solve for x
    x = 6,536,544.14/3,657.26
  6. Step 6: Final answer
    x = 1,787.28

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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.