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Finding the Fourth Proportional to 5,053.38, 6,972.57 and 3,064.02

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Solution

The fourth proportional to 5,053.38, 6,972.57 and 3,064.02 is: 4,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.38 : 6,972.57 = 3,064.02 : x
  2. Step 2: Convert to fraction form
    5,053.38/6,972.57 = 3,064.02/x
  3. Step 3: Cross multiply
    5,053.38x = 6,972.57 × 3,064.02
  4. Step 4: Simplify right side
    5,053.38x = 21,364,093.93
  5. Step 5: Solve for x
    x = 21,364,093.93/5,053.38
  6. Step 6: Final answer
    x = 4,227.68

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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.