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Finding the Fourth Proportional to 3,095.73, 4,641.44 and 1,147.41

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Solution

The fourth proportional to 3,095.73, 4,641.44 and 1,147.41 is: 1,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.73 : 4,641.44 = 1,147.41 : x
  2. Step 2: Convert to fraction form
    3,095.73/4,641.44 = 1,147.41/x
  3. Step 3: Cross multiply
    3,095.73x = 4,641.44 × 1,147.41
  4. Step 4: Simplify right side
    3,095.73x = 5,325,628.93
  5. Step 5: Solve for x
    x = 5,325,628.93/3,095.73
  6. Step 6: Final answer
    x = 1,720.31

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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.