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Finding the Fourth Proportional to 3,877.81, 5,817.12 and 1,244.65

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Solution

The fourth proportional to 3,877.81, 5,817.12 and 1,244.65 is: 1,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.81 : 5,817.12 = 1,244.65 : x
  2. Step 2: Convert to fraction form
    3,877.81/5,817.12 = 1,244.65/x
  3. Step 3: Cross multiply
    3,877.81x = 5,817.12 × 1,244.65
  4. Step 4: Simplify right side
    3,877.81x = 7,240,278.41
  5. Step 5: Solve for x
    x = 7,240,278.41/3,877.81
  6. Step 6: Final answer
    x = 1,867.10

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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.