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Finding the Fourth Proportional to 5,662.95, 8,478 and 3,464.97

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Solution

The fourth proportional to 5,662.95, 8,478 and 3,464.97 is: 5,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.95 : 8,478 = 3,464.97 : x
  2. Step 2: Convert to fraction form
    5,662.95/8,478 = 3,464.97/x
  3. Step 3: Cross multiply
    5,662.95x = 8,478 × 3,464.97
  4. Step 4: Simplify right side
    5,662.95x = 29,376,015.66
  5. Step 5: Solve for x
    x = 29,376,015.66/5,662.95
  6. Step 6: Final answer
    x = 5,187.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.