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Finding the Fourth Proportional to 3,874.96, 5,345.16 and 2,302

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Solution

The fourth proportional to 3,874.96, 5,345.16 and 2,302 is: 3,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.96 : 5,345.16 = 2,302 : x
  2. Step 2: Convert to fraction form
    3,874.96/5,345.16 = 2,302/x
  3. Step 3: Cross multiply
    3,874.96x = 5,345.16 × 2,302
  4. Step 4: Simplify right side
    3,874.96x = 12,304,558.32
  5. Step 5: Solve for x
    x = 12,304,558.32/3,874.96
  6. Step 6: Final answer
    x = 3,175.40

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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.