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Finding the Fourth Proportional to 3,660.47, 5,490.69 and 887.15

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Solution

The fourth proportional to 3,660.47, 5,490.69 and 887.15 is: 1,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.47 : 5,490.69 = 887.15 : x
  2. Step 2: Convert to fraction form
    3,660.47/5,490.69 = 887.15/x
  3. Step 3: Cross multiply
    3,660.47x = 5,490.69 × 887.15
  4. Step 4: Simplify right side
    3,660.47x = 4,871,076.03
  5. Step 5: Solve for x
    x = 4,871,076.03/3,660.47
  6. Step 6: Final answer
    x = 1,330.73

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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.