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Finding the Fourth Proportional to 3,453.14, 5,179.74 and 856.10

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Solution

The fourth proportional to 3,453.14, 5,179.74 and 856.10 is: 1,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.14 : 5,179.74 = 856.10 : x
  2. Step 2: Convert to fraction form
    3,453.14/5,179.74 = 856.10/x
  3. Step 3: Cross multiply
    3,453.14x = 5,179.74 × 856.10
  4. Step 4: Simplify right side
    3,453.14x = 4,434,375.41
  5. Step 5: Solve for x
    x = 4,434,375.41/3,453.14
  6. Step 6: Final answer
    x = 1,284.16

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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.