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Finding the Fourth Proportional to 3,916.46, 5,406.42 and 2,344.26

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Solution

The fourth proportional to 3,916.46, 5,406.42 and 2,344.26 is: 3,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.46 : 5,406.42 = 2,344.26 : x
  2. Step 2: Convert to fraction form
    3,916.46/5,406.42 = 2,344.26/x
  3. Step 3: Cross multiply
    3,916.46x = 5,406.42 × 2,344.26
  4. Step 4: Simplify right side
    3,916.46x = 12,674,054.15
  5. Step 5: Solve for x
    x = 12,674,054.15/3,916.46
  6. Step 6: Final answer
    x = 3,236.10

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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.