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Finding the Fourth Proportional to 3,537.82, 5,306.10 and 1,589.68

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Solution

The fourth proportional to 3,537.82, 5,306.10 and 1,589.68 is: 2,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.82 : 5,306.10 = 1,589.68 : x
  2. Step 2: Convert to fraction form
    3,537.82/5,306.10 = 1,589.68/x
  3. Step 3: Cross multiply
    3,537.82x = 5,306.10 × 1,589.68
  4. Step 4: Simplify right side
    3,537.82x = 8,435,001.05
  5. Step 5: Solve for x
    x = 8,435,001.05/3,537.82
  6. Step 6: Final answer
    x = 2,384.24

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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.