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Finding the Fourth Proportional to 3,916.62, 5,871.69 and 1,606.50

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Solution

The fourth proportional to 3,916.62, 5,871.69 and 1,606.50 is: 2,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.62 : 5,871.69 = 1,606.50 : x
  2. Step 2: Convert to fraction form
    3,916.62/5,871.69 = 1,606.50/x
  3. Step 3: Cross multiply
    3,916.62x = 5,871.69 × 1,606.50
  4. Step 4: Simplify right side
    3,916.62x = 9,432,869.99
  5. Step 5: Solve for x
    x = 9,432,869.99/3,916.62
  6. Step 6: Final answer
    x = 2,408.42

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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.