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Finding the Fourth Proportional to 4,648.84, 6,415.38 and 2,552.92

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Solution

The fourth proportional to 4,648.84, 6,415.38 and 2,552.92 is: 3,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.84 : 6,415.38 = 2,552.92 : x
  2. Step 2: Convert to fraction form
    4,648.84/6,415.38 = 2,552.92/x
  3. Step 3: Cross multiply
    4,648.84x = 6,415.38 × 2,552.92
  4. Step 4: Simplify right side
    4,648.84x = 16,377,951.91
  5. Step 5: Solve for x
    x = 16,377,951.91/4,648.84
  6. Step 6: Final answer
    x = 3,523.02

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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.