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Finding the Fourth Proportional to 4,862.93, 7,294.50 and 1,743.14

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Solution

The fourth proportional to 4,862.93, 7,294.50 and 1,743.14 is: 2,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.93 : 7,294.50 = 1,743.14 : x
  2. Step 2: Convert to fraction form
    4,862.93/7,294.50 = 1,743.14/x
  3. Step 3: Cross multiply
    4,862.93x = 7,294.50 × 1,743.14
  4. Step 4: Simplify right side
    4,862.93x = 12,715,334.73
  5. Step 5: Solve for x
    x = 12,715,334.73/4,862.93
  6. Step 6: Final answer
    x = 2,614.75

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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.