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Finding the Fourth Proportional to 3,542.96, 5,313.02 and 1,463.28

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Solution

The fourth proportional to 3,542.96, 5,313.02 and 1,463.28 is: 2,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.96 : 5,313.02 = 1,463.28 : x
  2. Step 2: Convert to fraction form
    3,542.96/5,313.02 = 1,463.28/x
  3. Step 3: Cross multiply
    3,542.96x = 5,313.02 × 1,463.28
  4. Step 4: Simplify right side
    3,542.96x = 7,774,428.59
  5. Step 5: Solve for x
    x = 7,774,428.59/3,542.96
  6. Step 6: Final answer
    x = 2,194.33

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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.