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Finding the Fourth Proportional to 4,648.84, 6,974.47 and 2,699.38

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Solution

The fourth proportional to 4,648.84, 6,974.47 and 2,699.38 is: 4,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.84 : 6,974.47 = 2,699.38 : x
  2. Step 2: Convert to fraction form
    4,648.84/6,974.47 = 2,699.38/x
  3. Step 3: Cross multiply
    4,648.84x = 6,974.47 × 2,699.38
  4. Step 4: Simplify right side
    4,648.84x = 18,826,717.69
  5. Step 5: Solve for x
    x = 18,826,717.69/4,648.84
  6. Step 6: Final answer
    x = 4,049.76

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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.