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Finding the Fourth Proportional to 4,974.57, 6,869.06 and 4,442.51

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Solution

The fourth proportional to 4,974.57, 6,869.06 and 4,442.51 is: 6,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.57 : 6,869.06 = 4,442.51 : x
  2. Step 2: Convert to fraction form
    4,974.57/6,869.06 = 4,442.51/x
  3. Step 3: Cross multiply
    4,974.57x = 6,869.06 × 4,442.51
  4. Step 4: Simplify right side
    4,974.57x = 30,515,896.97
  5. Step 5: Solve for x
    x = 30,515,896.97/4,974.57
  6. Step 6: Final answer
    x = 6,134.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.