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Finding the Fourth Proportional to 3,442.46, 5,166.10 and 2,054.92

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Solution

The fourth proportional to 3,442.46, 5,166.10 and 2,054.92 is: 3,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.46 : 5,166.10 = 2,054.92 : x
  2. Step 2: Convert to fraction form
    3,442.46/5,166.10 = 2,054.92/x
  3. Step 3: Cross multiply
    3,442.46x = 5,166.10 × 2,054.92
  4. Step 4: Simplify right side
    3,442.46x = 10,615,922.21
  5. Step 5: Solve for x
    x = 10,615,922.21/3,442.46
  6. Step 6: Final answer
    x = 3,083.82

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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.