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Finding the Fourth Proportional to 4,143.85, 6,214.87 and 1,369.86

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Solution

The fourth proportional to 4,143.85, 6,214.87 and 1,369.86 is: 2,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.85 : 6,214.87 = 1,369.86 : x
  2. Step 2: Convert to fraction form
    4,143.85/6,214.87 = 1,369.86/x
  3. Step 3: Cross multiply
    4,143.85x = 6,214.87 × 1,369.86
  4. Step 4: Simplify right side
    4,143.85x = 8,513,494.97
  5. Step 5: Solve for x
    x = 8,513,494.97/4,143.85
  6. Step 6: Final answer
    x = 2,054.49

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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.