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Finding the Fourth Proportional to 3,942.99, 5,437.41 and 3,058.47

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Solution

The fourth proportional to 3,942.99, 5,437.41 and 3,058.47 is: 4,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.99 : 5,437.41 = 3,058.47 : x
  2. Step 2: Convert to fraction form
    3,942.99/5,437.41 = 3,058.47/x
  3. Step 3: Cross multiply
    3,942.99x = 5,437.41 × 3,058.47
  4. Step 4: Simplify right side
    3,942.99x = 16,630,155.36
  5. Step 5: Solve for x
    x = 16,630,155.36/3,942.99
  6. Step 6: Final answer
    x = 4,217.65

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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.