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Finding the Fourth Proportional to 4,882, 6,737.16 and 2,674

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Solution

The fourth proportional to 4,882, 6,737.16 and 2,674 is: 3,690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882 : 6,737.16 = 2,674 : x
  2. Step 2: Convert to fraction form
    4,882/6,737.16 = 2,674/x
  3. Step 3: Cross multiply
    4,882x = 6,737.16 × 2,674
  4. Step 4: Simplify right side
    4,882x = 18,015,165.84
  5. Step 5: Solve for x
    x = 18,015,165.84/4,882
  6. Step 6: Final answer
    x = 3,690.12

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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.