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Finding the Fourth Proportional to 5,468.37, 7,546.32 and 2,984.37

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Solution

The fourth proportional to 5,468.37, 7,546.32 and 2,984.37 is: 4,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.37 : 7,546.32 = 2,984.37 : x
  2. Step 2: Convert to fraction form
    5,468.37/7,546.32 = 2,984.37/x
  3. Step 3: Cross multiply
    5,468.37x = 7,546.32 × 2,984.37
  4. Step 4: Simplify right side
    5,468.37x = 22,521,011.02
  5. Step 5: Solve for x
    x = 22,521,011.02/5,468.37
  6. Step 6: Final answer
    x = 4,118.41

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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.