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Finding the Fourth Proportional to 3,916.74, 5,872.32 and 3,304.38

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Solution

The fourth proportional to 3,916.74, 5,872.32 and 3,304.38 is: 4,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.74 : 5,872.32 = 3,304.38 : x
  2. Step 2: Convert to fraction form
    3,916.74/5,872.32 = 3,304.38/x
  3. Step 3: Cross multiply
    3,916.74x = 5,872.32 × 3,304.38
  4. Step 4: Simplify right side
    3,916.74x = 19,404,376.76
  5. Step 5: Solve for x
    x = 19,404,376.76/3,916.74
  6. Step 6: Final answer
    x = 4,954.22

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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.