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Finding the Fourth Proportional to 3,916.24, 5,878.22 and 2,663

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Solution

The fourth proportional to 3,916.24, 5,878.22 and 2,663 is: 3,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.24 : 5,878.22 = 2,663 : x
  2. Step 2: Convert to fraction form
    3,916.24/5,878.22 = 2,663/x
  3. Step 3: Cross multiply
    3,916.24x = 5,878.22 × 2,663
  4. Step 4: Simplify right side
    3,916.24x = 15,653,699.86
  5. Step 5: Solve for x
    x = 15,653,699.86/3,916.24
  6. Step 6: Final answer
    x = 3,997.12

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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.