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Finding the Fourth Proportional to 4,219.73, 6,326.17 and 1,756.38

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Solution

The fourth proportional to 4,219.73, 6,326.17 and 1,756.38 is: 2,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.73 : 6,326.17 = 1,756.38 : x
  2. Step 2: Convert to fraction form
    4,219.73/6,326.17 = 1,756.38/x
  3. Step 3: Cross multiply
    4,219.73x = 6,326.17 × 1,756.38
  4. Step 4: Simplify right side
    4,219.73x = 11,111,177.80
  5. Step 5: Solve for x
    x = 11,111,177.80/4,219.73
  6. Step 6: Final answer
    x = 2,633.15

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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.