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Finding the Fourth Proportional to 4,923.84, 6,794.24 and 3,157.86

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Solution

The fourth proportional to 4,923.84, 6,794.24 and 3,157.86 is: 4,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.84 : 6,794.24 = 3,157.86 : x
  2. Step 2: Convert to fraction form
    4,923.84/6,794.24 = 3,157.86/x
  3. Step 3: Cross multiply
    4,923.84x = 6,794.24 × 3,157.86
  4. Step 4: Simplify right side
    4,923.84x = 21,455,258.73
  5. Step 5: Solve for x
    x = 21,455,258.73/4,923.84
  6. Step 6: Final answer
    x = 4,357.42

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