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Finding the Fourth Proportional to 6,067.54, 8,373.54 and 3,709

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Solution

The fourth proportional to 6,067.54, 8,373.54 and 3,709 is: 5,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.54 : 8,373.54 = 3,709 : x
  2. Step 2: Convert to fraction form
    6,067.54/8,373.54 = 3,709/x
  3. Step 3: Cross multiply
    6,067.54x = 8,373.54 × 3,709
  4. Step 4: Simplify right side
    6,067.54x = 31,057,459.86
  5. Step 5: Solve for x
    x = 31,057,459.86/6,067.54
  6. Step 6: Final answer
    x = 5,118.62

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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.