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Finding the Fourth Proportional to 4,920.66, 7,375.16 and 4,865.84

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Solution

The fourth proportional to 4,920.66, 7,375.16 and 4,865.84 is: 7,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.66 : 7,375.16 = 4,865.84 : x
  2. Step 2: Convert to fraction form
    4,920.66/7,375.16 = 4,865.84/x
  3. Step 3: Cross multiply
    4,920.66x = 7,375.16 × 4,865.84
  4. Step 4: Simplify right side
    4,920.66x = 35,886,348.53
  5. Step 5: Solve for x
    x = 35,886,348.53/4,920.66
  6. Step 6: Final answer
    x = 7,292.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.