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Finding the Fourth Proportional to 3,751.74, 5,177.16 and 2,072.84

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Solution

The fourth proportional to 3,751.74, 5,177.16 and 2,072.84 is: 2,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.74 : 5,177.16 = 2,072.84 : x
  2. Step 2: Convert to fraction form
    3,751.74/5,177.16 = 2,072.84/x
  3. Step 3: Cross multiply
    3,751.74x = 5,177.16 × 2,072.84
  4. Step 4: Simplify right side
    3,751.74x = 10,731,398.45
  5. Step 5: Solve for x
    x = 10,731,398.45/3,751.74
  6. Step 6: Final answer
    x = 2,860.38

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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.