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Finding the Fourth Proportional to 5,294.61, 7,938.81 and 4,515.03

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Solution

The fourth proportional to 5,294.61, 7,938.81 and 4,515.03 is: 6,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.61 : 7,938.81 = 4,515.03 : x
  2. Step 2: Convert to fraction form
    5,294.61/7,938.81 = 4,515.03/x
  3. Step 3: Cross multiply
    5,294.61x = 7,938.81 × 4,515.03
  4. Step 4: Simplify right side
    5,294.61x = 35,843,965.31
  5. Step 5: Solve for x
    x = 35,843,965.31/5,294.61
  6. Step 6: Final answer
    x = 6,769.90

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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.