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Finding the Fourth Proportional to 4,711.50, 7,094.70 and 3,487.59

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Solution

The fourth proportional to 4,711.50, 7,094.70 and 3,487.59 is: 5,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.50 : 7,094.70 = 3,487.59 : x
  2. Step 2: Convert to fraction form
    4,711.50/7,094.70 = 3,487.59/x
  3. Step 3: Cross multiply
    4,711.50x = 7,094.70 × 3,487.59
  4. Step 4: Simplify right side
    4,711.50x = 24,743,404.77
  5. Step 5: Solve for x
    x = 24,743,404.77/4,711.50
  6. Step 6: Final answer
    x = 5,251.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.