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Finding the Fourth Proportional to 5,871.68, 8,806.24 and 1,976

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Solution

The fourth proportional to 5,871.68, 8,806.24 and 1,976 is: 2,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.68 : 8,806.24 = 1,976 : x
  2. Step 2: Convert to fraction form
    5,871.68/8,806.24 = 1,976/x
  3. Step 3: Cross multiply
    5,871.68x = 8,806.24 × 1,976
  4. Step 4: Simplify right side
    5,871.68x = 17,401,130.24
  5. Step 5: Solve for x
    x = 17,401,130.24/5,871.68
  6. Step 6: Final answer
    x = 2,963.57

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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.