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Finding the Fourth Proportional to 3,916.71, 5,401.92 and 3,443.60

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Solution

The fourth proportional to 3,916.71, 5,401.92 and 3,443.60 is: 4,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.71 : 5,401.92 = 3,443.60 : x
  2. Step 2: Convert to fraction form
    3,916.71/5,401.92 = 3,443.60/x
  3. Step 3: Cross multiply
    3,916.71x = 5,401.92 × 3,443.60
  4. Step 4: Simplify right side
    3,916.71x = 18,602,051.71
  5. Step 5: Solve for x
    x = 18,602,051.71/3,916.71
  6. Step 6: Final answer
    x = 4,749.41

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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.