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Finding the Fourth Proportional to 6,374.88, 8,794.08 and 4,138.02

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Solution

The fourth proportional to 6,374.88, 8,794.08 and 4,138.02 is: 5,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.88 : 8,794.08 = 4,138.02 : x
  2. Step 2: Convert to fraction form
    6,374.88/8,794.08 = 4,138.02/x
  3. Step 3: Cross multiply
    6,374.88x = 8,794.08 × 4,138.02
  4. Step 4: Simplify right side
    6,374.88x = 36,390,078.92
  5. Step 5: Solve for x
    x = 36,390,078.92/6,374.88
  6. Step 6: Final answer
    x = 5,708.36

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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.