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Finding the Fourth Proportional to 3,916.48, 5,404.74 and 2,148.11

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Solution

The fourth proportional to 3,916.48, 5,404.74 and 2,148.11 is: 2,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.48 : 5,404.74 = 2,148.11 : x
  2. Step 2: Convert to fraction form
    3,916.48/5,404.74 = 2,148.11/x
  3. Step 3: Cross multiply
    3,916.48x = 5,404.74 × 2,148.11
  4. Step 4: Simplify right side
    3,916.48x = 11,609,976.04
  5. Step 5: Solve for x
    x = 11,609,976.04/3,916.48
  6. Step 6: Final answer
    x = 2,964.39

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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.