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Finding the Fourth Proportional to 3,454.76, 5,181.06 and 1,262.99

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Solution

The fourth proportional to 3,454.76, 5,181.06 and 1,262.99 is: 1,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.76 : 5,181.06 = 1,262.99 : x
  2. Step 2: Convert to fraction form
    3,454.76/5,181.06 = 1,262.99/x
  3. Step 3: Cross multiply
    3,454.76x = 5,181.06 × 1,262.99
  4. Step 4: Simplify right side
    3,454.76x = 6,543,626.97
  5. Step 5: Solve for x
    x = 6,543,626.97/3,454.76
  6. Step 6: Final answer
    x = 1,894.09

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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.