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Finding the Fourth Proportional to 5,294.12, 7,943.78 and 3,744.08

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Solution

The fourth proportional to 5,294.12, 7,943.78 and 3,744.08 is: 5,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.12 : 7,943.78 = 3,744.08 : x
  2. Step 2: Convert to fraction form
    5,294.12/7,943.78 = 3,744.08/x
  3. Step 3: Cross multiply
    5,294.12x = 7,943.78 × 3,744.08
  4. Step 4: Simplify right side
    5,294.12x = 29,742,147.25
  5. Step 5: Solve for x
    x = 29,742,147.25/5,294.12
  6. Step 6: Final answer
    x = 5,617.96

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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.