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Finding the Fourth Proportional to 3,537.91, 5,305.96 and 1,589.66

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Solution

The fourth proportional to 3,537.91, 5,305.96 and 1,589.66 is: 2,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.91 : 5,305.96 = 1,589.66 : x
  2. Step 2: Convert to fraction form
    3,537.91/5,305.96 = 1,589.66/x
  3. Step 3: Cross multiply
    3,537.91x = 5,305.96 × 1,589.66
  4. Step 4: Simplify right side
    3,537.91x = 8,434,658.79
  5. Step 5: Solve for x
    x = 8,434,658.79/3,537.91
  6. Step 6: Final answer
    x = 2,384.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.