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Finding the Fourth Proportional to 3,541.74, 4,883 and 2,280.54

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Solution

The fourth proportional to 3,541.74, 4,883 and 2,280.54 is: 3,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.74 : 4,883 = 2,280.54 : x
  2. Step 2: Convert to fraction form
    3,541.74/4,883 = 2,280.54/x
  3. Step 3: Cross multiply
    3,541.74x = 4,883 × 2,280.54
  4. Step 4: Simplify right side
    3,541.74x = 11,135,876.82
  5. Step 5: Solve for x
    x = 11,135,876.82/3,541.74
  6. Step 6: Final answer
    x = 3,144.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.