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Finding the Fourth Proportional to 3,464.38, 5,196.43 and 999.15

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Solution

The fourth proportional to 3,464.38, 5,196.43 and 999.15 is: 1,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.38 : 5,196.43 = 999.15 : x
  2. Step 2: Convert to fraction form
    3,464.38/5,196.43 = 999.15/x
  3. Step 3: Cross multiply
    3,464.38x = 5,196.43 × 999.15
  4. Step 4: Simplify right side
    3,464.38x = 5,192,013.03
  5. Step 5: Solve for x
    x = 5,192,013.03/3,464.38
  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.