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Finding the Fourth Proportional to 4,076.52, 6,114.78 and 998.52

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Solution

The fourth proportional to 4,076.52, 6,114.78 and 998.52 is: 1,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.52 : 6,114.78 = 998.52 : x
  2. Step 2: Convert to fraction form
    4,076.52/6,114.78 = 998.52/x
  3. Step 3: Cross multiply
    4,076.52x = 6,114.78 × 998.52
  4. Step 4: Simplify right side
    4,076.52x = 6,105,730.13
  5. Step 5: Solve for x
    x = 6,105,730.13/4,076.52
  6. Step 6: Final answer
    x = 1,497.78

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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.