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Finding the Fourth Proportional to 5,294.80, 7,937.74 and 3,342.70

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Solution

The fourth proportional to 5,294.80, 7,937.74 and 3,342.70 is: 5,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.80 : 7,937.74 = 3,342.70 : x
  2. Step 2: Convert to fraction form
    5,294.80/7,937.74 = 3,342.70/x
  3. Step 3: Cross multiply
    5,294.80x = 7,937.74 × 3,342.70
  4. Step 4: Simplify right side
    5,294.80x = 26,533,483.50
  5. Step 5: Solve for x
    x = 26,533,483.50/5,294.80
  6. Step 6: Final answer
    x = 5,011.23

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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.