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Finding the Fourth Proportional to 5,306.29, 7,959.03 and 2,185.50

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Solution

The fourth proportional to 5,306.29, 7,959.03 and 2,185.50 is: 3,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.29 : 7,959.03 = 2,185.50 : x
  2. Step 2: Convert to fraction form
    5,306.29/7,959.03 = 2,185.50/x
  3. Step 3: Cross multiply
    5,306.29x = 7,959.03 × 2,185.50
  4. Step 4: Simplify right side
    5,306.29x = 17,394,420.27
  5. Step 5: Solve for x
    x = 17,394,420.27/5,306.29
  6. Step 6: Final answer
    x = 3,278.08

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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.