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Finding the Fourth Proportional to 4,648.38, 6,415.02 and 3,073.74

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Solution

The fourth proportional to 4,648.38, 6,415.02 and 3,073.74 is: 4,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.38 : 6,415.02 = 3,073.74 : x
  2. Step 2: Convert to fraction form
    4,648.38/6,415.02 = 3,073.74/x
  3. Step 3: Cross multiply
    4,648.38x = 6,415.02 × 3,073.74
  4. Step 4: Simplify right side
    4,648.38x = 19,718,103.57
  5. Step 5: Solve for x
    x = 19,718,103.57/4,648.38
  6. Step 6: Final answer
    x = 4,241.93

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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.