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Finding the Fourth Proportional to 5,712.06, 7,882.26 and 3,354

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Solution

The fourth proportional to 5,712.06, 7,882.26 and 3,354 is: 4,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.06 : 7,882.26 = 3,354 : x
  2. Step 2: Convert to fraction form
    5,712.06/7,882.26 = 3,354/x
  3. Step 3: Cross multiply
    5,712.06x = 7,882.26 × 3,354
  4. Step 4: Simplify right side
    5,712.06x = 26,437,100.04
  5. Step 5: Solve for x
    x = 26,437,100.04/5,712.06
  6. Step 6: Final answer
    x = 4,628.30

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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.