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Finding the Fourth Proportional to 3,444.37, 5,166.62 and 979.20

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Solution

The fourth proportional to 3,444.37, 5,166.62 and 979.20 is: 1,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.37 : 5,166.62 = 979.20 : x
  2. Step 2: Convert to fraction form
    3,444.37/5,166.62 = 979.20/x
  3. Step 3: Cross multiply
    3,444.37x = 5,166.62 × 979.20
  4. Step 4: Simplify right side
    3,444.37x = 5,059,154.30
  5. Step 5: Solve for x
    x = 5,059,154.30/3,444.37
  6. Step 6: Final answer
    x = 1,468.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.