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Finding the Fourth Proportional to 4,195.62, 5,791 and 2,428.26

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Solution

The fourth proportional to 4,195.62, 5,791 and 2,428.26 is: 3,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.62 : 5,791 = 2,428.26 : x
  2. Step 2: Convert to fraction form
    4,195.62/5,791 = 2,428.26/x
  3. Step 3: Cross multiply
    4,195.62x = 5,791 × 2,428.26
  4. Step 4: Simplify right side
    4,195.62x = 14,062,053.66
  5. Step 5: Solve for x
    x = 14,062,053.66/4,195.62
  6. Step 6: Final answer
    x = 3,351.60

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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.