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Finding the Fourth Proportional to 3,581.28, 5,371.29 and 948.81

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Solution

The fourth proportional to 3,581.28, 5,371.29 and 948.81 is: 1,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.28 : 5,371.29 = 948.81 : x
  2. Step 2: Convert to fraction form
    3,581.28/5,371.29 = 948.81/x
  3. Step 3: Cross multiply
    3,581.28x = 5,371.29 × 948.81
  4. Step 4: Simplify right side
    3,581.28x = 5,096,333.66
  5. Step 5: Solve for x
    x = 5,096,333.66/3,581.28
  6. Step 6: Final answer
    x = 1,423.05

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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.