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Finding the Fourth Proportional to 3,916.88, 5,408.13 and 2,522.06

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Solution

The fourth proportional to 3,916.88, 5,408.13 and 2,522.06 is: 3,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.88 : 5,408.13 = 2,522.06 : x
  2. Step 2: Convert to fraction form
    3,916.88/5,408.13 = 2,522.06/x
  3. Step 3: Cross multiply
    3,916.88x = 5,408.13 × 2,522.06
  4. Step 4: Simplify right side
    3,916.88x = 13,639,601.31
  5. Step 5: Solve for x
    x = 13,639,601.31/3,916.88
  6. Step 6: Final answer
    x = 3,482.27

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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.