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Finding the Fourth Proportional to 3,983.02, 5,974.56 and 2,248

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Solution

The fourth proportional to 3,983.02, 5,974.56 and 2,248 is: 3,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.02 : 5,974.56 = 2,248 : x
  2. Step 2: Convert to fraction form
    3,983.02/5,974.56 = 2,248/x
  3. Step 3: Cross multiply
    3,983.02x = 5,974.56 × 2,248
  4. Step 4: Simplify right side
    3,983.02x = 13,430,810.88
  5. Step 5: Solve for x
    x = 13,430,810.88/3,983.02
  6. Step 6: Final answer
    x = 3,372.02

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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.