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Finding the Fourth Proportional to 3,187.54, 4,395 and 2,744.68

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Solution

The fourth proportional to 3,187.54, 4,395 and 2,744.68 is: 3,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.54 : 4,395 = 2,744.68 : x
  2. Step 2: Convert to fraction form
    3,187.54/4,395 = 2,744.68/x
  3. Step 3: Cross multiply
    3,187.54x = 4,395 × 2,744.68
  4. Step 4: Simplify right side
    3,187.54x = 12,062,868.60
  5. Step 5: Solve for x
    x = 12,062,868.60/3,187.54
  6. Step 6: Final answer
    x = 3,784.38

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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.