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Finding the Fourth Proportional to 4,705.95, 7,067.71 and 4,143.28

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Solution

The fourth proportional to 4,705.95, 7,067.71 and 4,143.28 is: 6,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.95 : 7,067.71 = 4,143.28 : x
  2. Step 2: Convert to fraction form
    4,705.95/7,067.71 = 4,143.28/x
  3. Step 3: Cross multiply
    4,705.95x = 7,067.71 × 4,143.28
  4. Step 4: Simplify right side
    4,705.95x = 29,283,513.73
  5. Step 5: Solve for x
    x = 29,283,513.73/4,705.95
  6. Step 6: Final answer
    x = 6,222.65

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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.