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Finding the Fourth Proportional to 3,766.74, 5,197.87 and 2,088.01

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Solution

The fourth proportional to 3,766.74, 5,197.87 and 2,088.01 is: 2,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.74 : 5,197.87 = 2,088.01 : x
  2. Step 2: Convert to fraction form
    3,766.74/5,197.87 = 2,088.01/x
  3. Step 3: Cross multiply
    3,766.74x = 5,197.87 × 2,088.01
  4. Step 4: Simplify right side
    3,766.74x = 10,853,213.65
  5. Step 5: Solve for x
    x = 10,853,213.65/3,766.74
  6. Step 6: Final answer
    x = 2,881.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.