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Finding the Fourth Proportional to 3,464.15, 5,196.92 and 998.99

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Solution

The fourth proportional to 3,464.15, 5,196.92 and 998.99 is: 1,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.15 : 5,196.92 = 998.99 : x
  2. Step 2: Convert to fraction form
    3,464.15/5,196.92 = 998.99/x
  3. Step 3: Cross multiply
    3,464.15x = 5,196.92 × 998.99
  4. Step 4: Simplify right side
    3,464.15x = 5,191,666.12
  5. Step 5: Solve for x
    x = 5,191,666.12/3,464.15
  6. Step 6: Final answer
    x = 1,498.68

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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.