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Finding the Fourth Proportional to 6,278.91, 8,658.41 and 5,385.73

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Solution

The fourth proportional to 6,278.91, 8,658.41 and 5,385.73 is: 7,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.91 : 8,658.41 = 5,385.73 : x
  2. Step 2: Convert to fraction form
    6,278.91/8,658.41 = 5,385.73/x
  3. Step 3: Cross multiply
    6,278.91x = 8,658.41 × 5,385.73
  4. Step 4: Simplify right side
    6,278.91x = 46,631,858.49
  5. Step 5: Solve for x
    x = 46,631,858.49/6,278.91
  6. Step 6: Final answer
    x = 7,426.74

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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.