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Finding the Fourth Proportional to 5,756.16, 7,943.44 and 3,238.36

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Solution

The fourth proportional to 5,756.16, 7,943.44 and 3,238.36 is: 4,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.16 : 7,943.44 = 3,238.36 : x
  2. Step 2: Convert to fraction form
    5,756.16/7,943.44 = 3,238.36/x
  3. Step 3: Cross multiply
    5,756.16x = 7,943.44 × 3,238.36
  4. Step 4: Simplify right side
    5,756.16x = 25,723,718.36
  5. Step 5: Solve for x
    x = 25,723,718.36/5,756.16
  6. Step 6: Final answer
    x = 4,468.90

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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.