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Finding the Fourth Proportional to 3,791.03, 5,684.32 and 1,451.21

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Solution

The fourth proportional to 3,791.03, 5,684.32 and 1,451.21 is: 2,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.03 : 5,684.32 = 1,451.21 : x
  2. Step 2: Convert to fraction form
    3,791.03/5,684.32 = 1,451.21/x
  3. Step 3: Cross multiply
    3,791.03x = 5,684.32 × 1,451.21
  4. Step 4: Simplify right side
    3,791.03x = 8,249,152.61
  5. Step 5: Solve for x
    x = 8,249,152.61/3,791.03
  6. Step 6: Final answer
    x = 2,175.96

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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.