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Finding the Fourth Proportional to 4,552.38, 6,284.04 and 3,064.54

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Solution

The fourth proportional to 4,552.38, 6,284.04 and 3,064.54 is: 4,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.38 : 6,284.04 = 3,064.54 : x
  2. Step 2: Convert to fraction form
    4,552.38/6,284.04 = 3,064.54/x
  3. Step 3: Cross multiply
    4,552.38x = 6,284.04 × 3,064.54
  4. Step 4: Simplify right side
    4,552.38x = 19,257,691.94
  5. Step 5: Solve for x
    x = 19,257,691.94/4,552.38
  6. Step 6: Final answer
    x = 4,230.25

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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.