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Finding the Fourth Proportional to 4,938.70, 7,411.65 and 3,294.70

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Solution

The fourth proportional to 4,938.70, 7,411.65 and 3,294.70 is: 4,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.70 : 7,411.65 = 3,294.70 : x
  2. Step 2: Convert to fraction form
    4,938.70/7,411.65 = 3,294.70/x
  3. Step 3: Cross multiply
    4,938.70x = 7,411.65 × 3,294.70
  4. Step 4: Simplify right side
    4,938.70x = 24,419,163.26
  5. Step 5: Solve for x
    x = 24,419,163.26/4,938.70
  6. Step 6: Final answer
    x = 4,944.45

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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.