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Finding the Fourth Proportional to 3,657.36, 5,484.66 and 1,191.60

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Solution

The fourth proportional to 3,657.36, 5,484.66 and 1,191.60 is: 1,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.36 : 5,484.66 = 1,191.60 : x
  2. Step 2: Convert to fraction form
    3,657.36/5,484.66 = 1,191.60/x
  3. Step 3: Cross multiply
    3,657.36x = 5,484.66 × 1,191.60
  4. Step 4: Simplify right side
    3,657.36x = 6,535,520.86
  5. Step 5: Solve for x
    x = 6,535,520.86/3,657.36
  6. Step 6: Final answer
    x = 1,786.95

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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.