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Finding the Fourth Proportional to 6,138.80, 8,476.72 and 3,904.64

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Solution

The fourth proportional to 6,138.80, 8,476.72 and 3,904.64 is: 5,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.80 : 8,476.72 = 3,904.64 : x
  2. Step 2: Convert to fraction form
    6,138.80/8,476.72 = 3,904.64/x
  3. Step 3: Cross multiply
    6,138.80x = 8,476.72 × 3,904.64
  4. Step 4: Simplify right side
    6,138.80x = 33,098,539.98
  5. Step 5: Solve for x
    x = 33,098,539.98/6,138.80
  6. Step 6: Final answer
    x = 5,391.70

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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.