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Finding the Fourth Proportional to 3,657.02, 5,485.68 and 1,191.86

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Solution

The fourth proportional to 3,657.02, 5,485.68 and 1,191.86 is: 1,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.02 : 5,485.68 = 1,191.86 : x
  2. Step 2: Convert to fraction form
    3,657.02/5,485.68 = 1,191.86/x
  3. Step 3: Cross multiply
    3,657.02x = 5,485.68 × 1,191.86
  4. Step 4: Simplify right side
    3,657.02x = 6,538,162.56
  5. Step 5: Solve for x
    x = 6,538,162.56/3,657.02
  6. Step 6: Final answer
    x = 1,787.84

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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.