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Finding the Fourth Proportional to 3,660.01, 5,490.32 and 1,194.78

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Solution

The fourth proportional to 3,660.01, 5,490.32 and 1,194.78 is: 1,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.01 : 5,490.32 = 1,194.78 : x
  2. Step 2: Convert to fraction form
    3,660.01/5,490.32 = 1,194.78/x
  3. Step 3: Cross multiply
    3,660.01x = 5,490.32 × 1,194.78
  4. Step 4: Simplify right side
    3,660.01x = 6,559,724.53
  5. Step 5: Solve for x
    x = 6,559,724.53/3,660.01
  6. Step 6: Final answer
    x = 1,792.27

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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.