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Finding the Fourth Proportional to 5,682.33, 7,842.33 and 3,444.17

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Solution

The fourth proportional to 5,682.33, 7,842.33 and 3,444.17 is: 4,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.33 : 7,842.33 = 3,444.17 : x
  2. Step 2: Convert to fraction form
    5,682.33/7,842.33 = 3,444.17/x
  3. Step 3: Cross multiply
    5,682.33x = 7,842.33 × 3,444.17
  4. Step 4: Simplify right side
    5,682.33x = 27,010,278.50
  5. Step 5: Solve for x
    x = 27,010,278.50/5,682.33
  6. Step 6: Final answer
    x = 4,753.38

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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.