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Finding the Fourth Proportional to 3,729.88, 5,589.06 and 2,359

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Solution

The fourth proportional to 3,729.88, 5,589.06 and 2,359 is: 3,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.88 : 5,589.06 = 2,359 : x
  2. Step 2: Convert to fraction form
    3,729.88/5,589.06 = 2,359/x
  3. Step 3: Cross multiply
    3,729.88x = 5,589.06 × 2,359
  4. Step 4: Simplify right side
    3,729.88x = 13,184,592.54
  5. Step 5: Solve for x
    x = 13,184,592.54/3,729.88
  6. Step 6: Final answer
    x = 3,534.86

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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.