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Finding the Fourth Proportional to 4,140.86, 6,209.98 and 1,367.02

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Solution

The fourth proportional to 4,140.86, 6,209.98 and 1,367.02 is: 2,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.86 : 6,209.98 = 1,367.02 : x
  2. Step 2: Convert to fraction form
    4,140.86/6,209.98 = 1,367.02/x
  3. Step 3: Cross multiply
    4,140.86x = 6,209.98 × 1,367.02
  4. Step 4: Simplify right side
    4,140.86x = 8,489,166.86
  5. Step 5: Solve for x
    x = 8,489,166.86/4,140.86
  6. Step 6: Final answer
    x = 2,050.10

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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.