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Finding the Fourth Proportional to 3,916.20, 5,872.16 and 1,805.54

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Solution

The fourth proportional to 3,916.20, 5,872.16 and 1,805.54 is: 2,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.20 : 5,872.16 = 1,805.54 : x
  2. Step 2: Convert to fraction form
    3,916.20/5,872.16 = 1,805.54/x
  3. Step 3: Cross multiply
    3,916.20x = 5,872.16 × 1,805.54
  4. Step 4: Simplify right side
    3,916.20x = 10,602,381.38
  5. Step 5: Solve for x
    x = 10,602,381.38/3,916.20
  6. Step 6: Final answer
    x = 2,707.31

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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.