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Finding the Fourth Proportional to 5,047.33, 6,965.47 and 3,158.31

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Solution

The fourth proportional to 5,047.33, 6,965.47 and 3,158.31 is: 4,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.33 : 6,965.47 = 3,158.31 : x
  2. Step 2: Convert to fraction form
    5,047.33/6,965.47 = 3,158.31/x
  3. Step 3: Cross multiply
    5,047.33x = 6,965.47 × 3,158.31
  4. Step 4: Simplify right side
    5,047.33x = 21,999,113.56
  5. Step 5: Solve for x
    x = 21,999,113.56/5,047.33
  6. Step 6: Final answer
    x = 4,358.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.