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Finding the Fourth Proportional to 4,977.48, 7,469.88 and 2,382.24

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Solution

The fourth proportional to 4,977.48, 7,469.88 and 2,382.24 is: 3,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.48 : 7,469.88 = 2,382.24 : x
  2. Step 2: Convert to fraction form
    4,977.48/7,469.88 = 2,382.24/x
  3. Step 3: Cross multiply
    4,977.48x = 7,469.88 × 2,382.24
  4. Step 4: Simplify right side
    4,977.48x = 17,795,046.93
  5. Step 5: Solve for x
    x = 17,795,046.93/4,977.48
  6. Step 6: Final answer
    x = 3,575.11

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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.