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Finding the Fourth Proportional to 3,766.54, 5,197.74 and 2,087.92

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Solution

The fourth proportional to 3,766.54, 5,197.74 and 2,087.92 is: 2,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.54 : 5,197.74 = 2,087.92 : x
  2. Step 2: Convert to fraction form
    3,766.54/5,197.74 = 2,087.92/x
  3. Step 3: Cross multiply
    3,766.54x = 5,197.74 × 2,087.92
  4. Step 4: Simplify right side
    3,766.54x = 10,852,465.30
  5. Step 5: Solve for x
    x = 10,852,465.30/3,766.54
  6. Step 6: Final answer
    x = 2,881.28

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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.