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Finding the Fourth Proportional to 4,381.50, 6,572.99 and 1,916.26

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Solution

The fourth proportional to 4,381.50, 6,572.99 and 1,916.26 is: 2,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.50 : 6,572.99 = 1,916.26 : x
  2. Step 2: Convert to fraction form
    4,381.50/6,572.99 = 1,916.26/x
  3. Step 3: Cross multiply
    4,381.50x = 6,572.99 × 1,916.26
  4. Step 4: Simplify right side
    4,381.50x = 12,595,557.82
  5. Step 5: Solve for x
    x = 12,595,557.82/4,381.50
  6. Step 6: Final answer
    x = 2,874.71

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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.