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Finding the Fourth Proportional to 3,916.32, 5,402.64 and 2,343.24

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Solution

The fourth proportional to 3,916.32, 5,402.64 and 2,343.24 is: 3,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.32 : 5,402.64 = 2,343.24 : x
  2. Step 2: Convert to fraction form
    3,916.32/5,402.64 = 2,343.24/x
  3. Step 3: Cross multiply
    3,916.32x = 5,402.64 × 2,343.24
  4. Step 4: Simplify right side
    3,916.32x = 12,659,682.15
  5. Step 5: Solve for x
    x = 12,659,682.15/3,916.32
  6. Step 6: Final answer
    x = 3,232.55

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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.