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Finding the Fourth Proportional to 5,367.93, 8,051.19 and 2,078.76

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Solution

The fourth proportional to 5,367.93, 8,051.19 and 2,078.76 is: 3,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.93 : 8,051.19 = 2,078.76 : x
  2. Step 2: Convert to fraction form
    5,367.93/8,051.19 = 2,078.76/x
  3. Step 3: Cross multiply
    5,367.93x = 8,051.19 × 2,078.76
  4. Step 4: Simplify right side
    5,367.93x = 16,736,491.72
  5. Step 5: Solve for x
    x = 16,736,491.72/5,367.93
  6. Step 6: Final answer
    x = 3,117.87

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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.