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Finding the Fourth Proportional to 5,058.28, 6,978.87 and 2,933.38

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Solution

The fourth proportional to 5,058.28, 6,978.87 and 2,933.38 is: 4,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.28 : 6,978.87 = 2,933.38 : x
  2. Step 2: Convert to fraction form
    5,058.28/6,978.87 = 2,933.38/x
  3. Step 3: Cross multiply
    5,058.28x = 6,978.87 × 2,933.38
  4. Step 4: Simplify right side
    5,058.28x = 20,471,677.68
  5. Step 5: Solve for x
    x = 20,471,677.68/5,058.28
  6. Step 6: Final answer
    x = 4,047.16

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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.