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Finding the Fourth Proportional to 4,862, 7,294.24 and 1,399.26

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Solution

The fourth proportional to 4,862, 7,294.24 and 1,399.26 is: 2,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862 : 7,294.24 = 1,399.26 : x
  2. Step 2: Convert to fraction form
    4,862/7,294.24 = 1,399.26/x
  3. Step 3: Cross multiply
    4,862x = 7,294.24 × 1,399.26
  4. Step 4: Simplify right side
    4,862x = 10,206,538.26
  5. Step 5: Solve for x
    x = 10,206,538.26/4,862
  6. Step 6: Final answer
    x = 2,099.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.