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Finding the Fourth Proportional to 5,656.95, 8,469 and 3,458.97

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Solution

The fourth proportional to 5,656.95, 8,469 and 3,458.97 is: 5,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.95 : 8,469 = 3,458.97 : x
  2. Step 2: Convert to fraction form
    5,656.95/8,469 = 3,458.97/x
  3. Step 3: Cross multiply
    5,656.95x = 8,469 × 3,458.97
  4. Step 4: Simplify right side
    5,656.95x = 29,294,016.93
  5. Step 5: Solve for x
    x = 29,294,016.93/5,656.95
  6. Step 6: Final answer
    x = 5,178.41

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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.