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Finding the Fourth Proportional to 3,464.08, 5,195.55 and 998.35

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Solution

The fourth proportional to 3,464.08, 5,195.55 and 998.35 is: 1,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.08 : 5,195.55 = 998.35 : x
  2. Step 2: Convert to fraction form
    3,464.08/5,195.55 = 998.35/x
  3. Step 3: Cross multiply
    3,464.08x = 5,195.55 × 998.35
  4. Step 4: Simplify right side
    3,464.08x = 5,186,977.34
  5. Step 5: Solve for x
    x = 5,186,977.34/3,464.08
  6. Step 6: Final answer
    x = 1,497.36

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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.