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Finding the Fourth Proportional to 5,043.20, 7,553.07 and 4,868.06

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Solution

The fourth proportional to 5,043.20, 7,553.07 and 4,868.06 is: 7,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043.20 : 7,553.07 = 4,868.06 : x
  2. Step 2: Convert to fraction form
    5,043.20/7,553.07 = 4,868.06/x
  3. Step 3: Cross multiply
    5,043.20x = 7,553.07 × 4,868.06
  4. Step 4: Simplify right side
    5,043.20x = 36,768,797.94
  5. Step 5: Solve for x
    x = 36,768,797.94/5,043.20
  6. Step 6: Final answer
    x = 7,290.77

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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.