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Finding the Fourth Proportional to 3,768.52, 5,200.08 and 2,371

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Solution

The fourth proportional to 3,768.52, 5,200.08 and 2,371 is: 3,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.52 : 5,200.08 = 2,371 : x
  2. Step 2: Convert to fraction form
    3,768.52/5,200.08 = 2,371/x
  3. Step 3: Cross multiply
    3,768.52x = 5,200.08 × 2,371
  4. Step 4: Simplify right side
    3,768.52x = 12,329,389.68
  5. Step 5: Solve for x
    x = 12,329,389.68/3,768.52
  6. Step 6: Final answer
    x = 3,271.68

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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.