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Finding the Fourth Proportional to 3,410.46, 5,116.50 and 2,758.32

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Solution

The fourth proportional to 3,410.46, 5,116.50 and 2,758.32 is: 4,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.46 : 5,116.50 = 2,758.32 : x
  2. Step 2: Convert to fraction form
    3,410.46/5,116.50 = 2,758.32/x
  3. Step 3: Cross multiply
    3,410.46x = 5,116.50 × 2,758.32
  4. Step 4: Simplify right side
    3,410.46x = 14,112,944.28
  5. Step 5: Solve for x
    x = 14,112,944.28/3,410.46
  6. Step 6: Final answer
    x = 4,138.14

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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.