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Finding the Fourth Proportional to 3,464.04, 5,196.83 and 998.67

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Solution

The fourth proportional to 3,464.04, 5,196.83 and 998.67 is: 1,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.04 : 5,196.83 = 998.67 : x
  2. Step 2: Convert to fraction form
    3,464.04/5,196.83 = 998.67/x
  3. Step 3: Cross multiply
    3,464.04x = 5,196.83 × 998.67
  4. Step 4: Simplify right side
    3,464.04x = 5,189,926.52
  5. Step 5: Solve for x
    x = 5,189,926.52/3,464.04
  6. Step 6: Final answer
    x = 1,498.23

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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.