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Finding the Fourth Proportional to 3,294.58, 4,942.47 and 1,563.19

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Solution

The fourth proportional to 3,294.58, 4,942.47 and 1,563.19 is: 2,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.58 : 4,942.47 = 1,563.19 : x
  2. Step 2: Convert to fraction form
    3,294.58/4,942.47 = 1,563.19/x
  3. Step 3: Cross multiply
    3,294.58x = 4,942.47 × 1,563.19
  4. Step 4: Simplify right side
    3,294.58x = 7,726,007.32
  5. Step 5: Solve for x
    x = 7,726,007.32/3,294.58
  6. Step 6: Final answer
    x = 2,345.07

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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.