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Finding the Fourth Proportional to 4,612.86, 6,366 and 2,517

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Solution

The fourth proportional to 4,612.86, 6,366 and 2,517 is: 3,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.86 : 6,366 = 2,517 : x
  2. Step 2: Convert to fraction form
    4,612.86/6,366 = 2,517/x
  3. Step 3: Cross multiply
    4,612.86x = 6,366 × 2,517
  4. Step 4: Simplify right side
    4,612.86x = 16,023,222
  5. Step 5: Solve for x
    x = 16,023,222/4,612.86
  6. Step 6: Final answer
    x = 3,473.60

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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.