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Finding the Fourth Proportional to 3,965.17, 5,948.07 and 1,043.48

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Solution

The fourth proportional to 3,965.17, 5,948.07 and 1,043.48 is: 1,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.17 : 5,948.07 = 1,043.48 : x
  2. Step 2: Convert to fraction form
    3,965.17/5,948.07 = 1,043.48/x
  3. Step 3: Cross multiply
    3,965.17x = 5,948.07 × 1,043.48
  4. Step 4: Simplify right side
    3,965.17x = 6,206,703.04
  5. Step 5: Solve for x
    x = 6,206,703.04/3,965.17
  6. Step 6: Final answer
    x = 1,565.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.