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Finding the Fourth Proportional to 3,464.52, 5,199.29 and 1,356.46

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Solution

The fourth proportional to 3,464.52, 5,199.29 and 1,356.46 is: 2,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.52 : 5,199.29 = 1,356.46 : x
  2. Step 2: Convert to fraction form
    3,464.52/5,199.29 = 1,356.46/x
  3. Step 3: Cross multiply
    3,464.52x = 5,199.29 × 1,356.46
  4. Step 4: Simplify right side
    3,464.52x = 7,052,628.91
  5. Step 5: Solve for x
    x = 7,052,628.91/3,464.52
  6. Step 6: Final answer
    x = 2,035.67

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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.