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Finding the Fourth Proportional to 3,542.36, 5,313.54 and 945.29

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Solution

The fourth proportional to 3,542.36, 5,313.54 and 945.29 is: 1,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.36 : 5,313.54 = 945.29 : x
  2. Step 2: Convert to fraction form
    3,542.36/5,313.54 = 945.29/x
  3. Step 3: Cross multiply
    3,542.36x = 5,313.54 × 945.29
  4. Step 4: Simplify right side
    3,542.36x = 5,022,809.66
  5. Step 5: Solve for x
    x = 5,022,809.66/3,542.36
  6. Step 6: Final answer
    x = 1,417.93

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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.