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Finding the Fourth Proportional to 3,940.58, 5,438.13 and 2,262.30

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Solution

The fourth proportional to 3,940.58, 5,438.13 and 2,262.30 is: 3,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.58 : 5,438.13 = 2,262.30 : x
  2. Step 2: Convert to fraction form
    3,940.58/5,438.13 = 2,262.30/x
  3. Step 3: Cross multiply
    3,940.58x = 5,438.13 × 2,262.30
  4. Step 4: Simplify right side
    3,940.58x = 12,302,681.50
  5. Step 5: Solve for x
    x = 12,302,681.50/3,940.58
  6. Step 6: Final answer
    x = 3,122.05

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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.