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Finding the Fourth Proportional to 5,584, 8,377.26 and 3,943.66

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Solution

The fourth proportional to 5,584, 8,377.26 and 3,943.66 is: 5,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584 : 8,377.26 = 3,943.66 : x
  2. Step 2: Convert to fraction form
    5,584/8,377.26 = 3,943.66/x
  3. Step 3: Cross multiply
    5,584x = 8,377.26 × 3,943.66
  4. Step 4: Simplify right side
    5,584x = 33,037,065.17
  5. Step 5: Solve for x
    x = 33,037,065.17/5,584
  6. Step 6: Final answer
    x = 5,916.38

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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.