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Finding the Fourth Proportional to 3,729.78, 5,147.12 and 2,051.13

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Solution

The fourth proportional to 3,729.78, 5,147.12 and 2,051.13 is: 2,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.78 : 5,147.12 = 2,051.13 : x
  2. Step 2: Convert to fraction form
    3,729.78/5,147.12 = 2,051.13/x
  3. Step 3: Cross multiply
    3,729.78x = 5,147.12 × 2,051.13
  4. Step 4: Simplify right side
    3,729.78x = 10,557,412.25
  5. Step 5: Solve for x
    x = 10,557,412.25/3,729.78
  6. Step 6: Final answer
    x = 2,830.57

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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.