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Finding the Fourth Proportional to 3,177.84, 4,728.30 and 3,098.48

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Solution

The fourth proportional to 3,177.84, 4,728.30 and 3,098.48 is: 4,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.84 : 4,728.30 = 3,098.48 : x
  2. Step 2: Convert to fraction form
    3,177.84/4,728.30 = 3,098.48/x
  3. Step 3: Cross multiply
    3,177.84x = 4,728.30 × 3,098.48
  4. Step 4: Simplify right side
    3,177.84x = 14,650,542.98
  5. Step 5: Solve for x
    x = 14,650,542.98/3,177.84
  6. Step 6: Final answer
    x = 4,610.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.