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Finding the Fourth Proportional to 3,763.71, 5,644.20 and 1,297.86

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Solution

The fourth proportional to 3,763.71, 5,644.20 and 1,297.86 is: 1,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.71 : 5,644.20 = 1,297.86 : x
  2. Step 2: Convert to fraction form
    3,763.71/5,644.20 = 1,297.86/x
  3. Step 3: Cross multiply
    3,763.71x = 5,644.20 × 1,297.86
  4. Step 4: Simplify right side
    3,763.71x = 7,325,381.41
  5. Step 5: Solve for x
    x = 7,325,381.41/3,763.71
  6. Step 6: Final answer
    x = 1,946.32

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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.