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Finding the Fourth Proportional to 6,139.92, 8,468.08 and 5,341.84

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Solution

The fourth proportional to 6,139.92, 8,468.08 and 5,341.84 is: 7,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.92 : 8,468.08 = 5,341.84 : x
  2. Step 2: Convert to fraction form
    6,139.92/8,468.08 = 5,341.84/x
  3. Step 3: Cross multiply
    6,139.92x = 8,468.08 × 5,341.84
  4. Step 4: Simplify right side
    6,139.92x = 45,235,128.47
  5. Step 5: Solve for x
    x = 45,235,128.47/6,139.92
  6. Step 6: Final answer
    x = 7,367.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.