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Finding the Fourth Proportional to 3,766.07, 5,197.17 and 2,110.07

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Solution

The fourth proportional to 3,766.07, 5,197.17 and 2,110.07 is: 2,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.07 : 5,197.17 = 2,110.07 : x
  2. Step 2: Convert to fraction form
    3,766.07/5,197.17 = 2,110.07/x
  3. Step 3: Cross multiply
    3,766.07x = 5,197.17 × 2,110.07
  4. Step 4: Simplify right side
    3,766.07x = 10,966,366.52
  5. Step 5: Solve for x
    x = 10,966,366.52/3,766.07
  6. Step 6: Final answer
    x = 2,911.89

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1.5x scale

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.