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Finding the Fourth Proportional to 5,213.10, 7,800.21 and 5,154.78

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Solution

The fourth proportional to 5,213.10, 7,800.21 and 5,154.78 is: 7,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.10 : 7,800.21 = 5,154.78 : x
  2. Step 2: Convert to fraction form
    5,213.10/7,800.21 = 5,154.78/x
  3. Step 3: Cross multiply
    5,213.10x = 7,800.21 × 5,154.78
  4. Step 4: Simplify right side
    5,213.10x = 40,208,366.50
  5. Step 5: Solve for x
    x = 40,208,366.50/5,213.10
  6. Step 6: Final answer
    x = 7,712.95

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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.