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Finding the Fourth Proportional to 3,657.01, 5,485.82 and 1,191.78

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Solution

The fourth proportional to 3,657.01, 5,485.82 and 1,191.78 is: 1,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.01 : 5,485.82 = 1,191.78 : x
  2. Step 2: Convert to fraction form
    3,657.01/5,485.82 = 1,191.78/x
  3. Step 3: Cross multiply
    3,657.01x = 5,485.82 × 1,191.78
  4. Step 4: Simplify right side
    3,657.01x = 6,537,890.56
  5. Step 5: Solve for x
    x = 6,537,890.56/3,657.01
  6. Step 6: Final answer
    x = 1,787.77

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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.