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Finding the Fourth Proportional to 5,871.72, 8,801.10 and 2,406

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Solution

The fourth proportional to 5,871.72, 8,801.10 and 2,406 is: 3,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.72 : 8,801.10 = 2,406 : x
  2. Step 2: Convert to fraction form
    5,871.72/8,801.10 = 2,406/x
  3. Step 3: Cross multiply
    5,871.72x = 8,801.10 × 2,406
  4. Step 4: Simplify right side
    5,871.72x = 21,175,446.60
  5. Step 5: Solve for x
    x = 21,175,446.60/5,871.72
  6. Step 6: Final answer
    x = 3,606.34

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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.