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Finding the Fourth Proportional to 3,652.47, 5,478.19 and 1,187.33

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Solution

The fourth proportional to 3,652.47, 5,478.19 and 1,187.33 is: 1,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.47 : 5,478.19 = 1,187.33 : x
  2. Step 2: Convert to fraction form
    3,652.47/5,478.19 = 1,187.33/x
  3. Step 3: Cross multiply
    3,652.47x = 5,478.19 × 1,187.33
  4. Step 4: Simplify right side
    3,652.47x = 6,504,388.97
  5. Step 5: Solve for x
    x = 6,504,388.97/3,652.47
  6. Step 6: Final answer
    x = 1,780.82

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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.