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Finding the Fourth Proportional to 3,720.28, 5,579.92 and 946.71

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Solution

The fourth proportional to 3,720.28, 5,579.92 and 946.71 is: 1,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.28 : 5,579.92 = 946.71 : x
  2. Step 2: Convert to fraction form
    3,720.28/5,579.92 = 946.71/x
  3. Step 3: Cross multiply
    3,720.28x = 5,579.92 × 946.71
  4. Step 4: Simplify right side
    3,720.28x = 5,282,566.06
  5. Step 5: Solve for x
    x = 5,282,566.06/3,720.28
  6. Step 6: Final answer
    x = 1,419.94

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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.