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Finding the Fourth Proportional to 3,872.59, 5,809.89 and 1,681.74

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Solution

The fourth proportional to 3,872.59, 5,809.89 and 1,681.74 is: 2,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.59 : 5,809.89 = 1,681.74 : x
  2. Step 2: Convert to fraction form
    3,872.59/5,809.89 = 1,681.74/x
  3. Step 3: Cross multiply
    3,872.59x = 5,809.89 × 1,681.74
  4. Step 4: Simplify right side
    3,872.59x = 9,770,724.41
  5. Step 5: Solve for x
    x = 9,770,724.41/3,872.59
  6. Step 6: Final answer
    x = 2,523.05

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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.