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Finding the Fourth Proportional to 3,464.71, 5,197.07 and 1,617.11

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Solution

The fourth proportional to 3,464.71, 5,197.07 and 1,617.11 is: 2,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.71 : 5,197.07 = 1,617.11 : x
  2. Step 2: Convert to fraction form
    3,464.71/5,197.07 = 1,617.11/x
  3. Step 3: Cross multiply
    3,464.71x = 5,197.07 × 1,617.11
  4. Step 4: Simplify right side
    3,464.71x = 8,404,238.77
  5. Step 5: Solve for x
    x = 8,404,238.77/3,464.71
  6. Step 6: Final answer
    x = 2,425.67

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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.