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Finding the Fourth Proportional to 4,620, 6,375.74 and 2,524.26

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Solution

The fourth proportional to 4,620, 6,375.74 and 2,524.26 is: 3,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620 : 6,375.74 = 2,524.26 : x
  2. Step 2: Convert to fraction form
    4,620/6,375.74 = 2,524.26/x
  3. Step 3: Cross multiply
    4,620x = 6,375.74 × 2,524.26
  4. Step 4: Simplify right side
    4,620x = 16,094,012.83
  5. Step 5: Solve for x
    x = 16,094,012.83/4,620
  6. Step 6: Final answer
    x = 3,483.55

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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.