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Finding the Fourth Proportional to 3,916.69, 5,405.14 and 2,238.37

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Solution

The fourth proportional to 3,916.69, 5,405.14 and 2,238.37 is: 3,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.69 : 5,405.14 = 2,238.37 : x
  2. Step 2: Convert to fraction form
    3,916.69/5,405.14 = 2,238.37/x
  3. Step 3: Cross multiply
    3,916.69x = 5,405.14 × 2,238.37
  4. Step 4: Simplify right side
    3,916.69x = 12,098,712.78
  5. Step 5: Solve for x
    x = 12,098,712.78/3,916.69
  6. Step 6: Final answer
    x = 3,089.01

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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.