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Finding the Fourth Proportional to 3,067.95, 4,596.46 and 1,285.08

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Solution

The fourth proportional to 3,067.95, 4,596.46 and 1,285.08 is: 1,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.95 : 4,596.46 = 1,285.08 : x
  2. Step 2: Convert to fraction form
    3,067.95/4,596.46 = 1,285.08/x
  3. Step 3: Cross multiply
    3,067.95x = 4,596.46 × 1,285.08
  4. Step 4: Simplify right side
    3,067.95x = 5,906,799.37
  5. Step 5: Solve for x
    x = 5,906,799.37/3,067.95
  6. Step 6: Final answer
    x = 1,925.32

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