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Finding the Fourth Proportional to 3,916.69, 5,404.86 and 2,238.03

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Solution

The fourth proportional to 3,916.69, 5,404.86 and 2,238.03 is: 3,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.69 : 5,404.86 = 2,238.03 : x
  2. Step 2: Convert to fraction form
    3,916.69/5,404.86 = 2,238.03/x
  3. Step 3: Cross multiply
    3,916.69x = 5,404.86 × 2,238.03
  4. Step 4: Simplify right side
    3,916.69x = 12,096,238.83
  5. Step 5: Solve for x
    x = 12,096,238.83/3,916.69
  6. Step 6: Final answer
    x = 3,088.38

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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.