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Finding the Fourth Proportional to 5,916.48, 8,165.16 and 3,399

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Solution

The fourth proportional to 5,916.48, 8,165.16 and 3,399 is: 4,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.48 : 8,165.16 = 3,399 : x
  2. Step 2: Convert to fraction form
    5,916.48/8,165.16 = 3,399/x
  3. Step 3: Cross multiply
    5,916.48x = 8,165.16 × 3,399
  4. Step 4: Simplify right side
    5,916.48x = 27,753,378.84
  5. Step 5: Solve for x
    x = 27,753,378.84/5,916.48
  6. Step 6: Final answer
    x = 4,690.86

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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.