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Finding the Fourth Proportional to 3,807.03, 5,701.19 and 3,144.86

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Solution

The fourth proportional to 3,807.03, 5,701.19 and 3,144.86 is: 4,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.03 : 5,701.19 = 3,144.86 : x
  2. Step 2: Convert to fraction form
    3,807.03/5,701.19 = 3,144.86/x
  3. Step 3: Cross multiply
    3,807.03x = 5,701.19 × 3,144.86
  4. Step 4: Simplify right side
    3,807.03x = 17,929,421.53
  5. Step 5: Solve for x
    x = 17,929,421.53/3,807.03
  6. Step 6: Final answer
    x = 4,709.55

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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.