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Finding the Fourth Proportional to 3,752.78, 5,178.38 and 2,074.08

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Solution

The fourth proportional to 3,752.78, 5,178.38 and 2,074.08 is: 2,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.78 : 5,178.38 = 2,074.08 : x
  2. Step 2: Convert to fraction form
    3,752.78/5,178.38 = 2,074.08/x
  3. Step 3: Cross multiply
    3,752.78x = 5,178.38 × 2,074.08
  4. Step 4: Simplify right side
    3,752.78x = 10,740,374.39
  5. Step 5: Solve for x
    x = 10,740,374.39/3,752.78
  6. Step 6: Final answer
    x = 2,861.98

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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.