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Finding the Fourth Proportional to 3,871.48, 5,807.22 and 949.76

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Solution

The fourth proportional to 3,871.48, 5,807.22 and 949.76 is: 1,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.48 : 5,807.22 = 949.76 : x
  2. Step 2: Convert to fraction form
    3,871.48/5,807.22 = 949.76/x
  3. Step 3: Cross multiply
    3,871.48x = 5,807.22 × 949.76
  4. Step 4: Simplify right side
    3,871.48x = 5,515,432.67
  5. Step 5: Solve for x
    x = 5,515,432.67/3,871.48
  6. Step 6: Final answer
    x = 1,424.63

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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.