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Finding the Fourth Proportional to 5,311.78, 7,966.60 and 5,048.35

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Solution

The fourth proportional to 5,311.78, 7,966.60 and 5,048.35 is: 7,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.78 : 7,966.60 = 5,048.35 : x
  2. Step 2: Convert to fraction form
    5,311.78/7,966.60 = 5,048.35/x
  3. Step 3: Cross multiply
    5,311.78x = 7,966.60 × 5,048.35
  4. Step 4: Simplify right side
    5,311.78x = 40,218,185.11
  5. Step 5: Solve for x
    x = 40,218,185.11/5,311.78
  6. Step 6: Final answer
    x = 7,571.51

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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.