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Finding the Fourth Proportional to 4,118.08, 6,177.13 and 998.08

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Solution

The fourth proportional to 4,118.08, 6,177.13 and 998.08 is: 1,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.08 : 6,177.13 = 998.08 : x
  2. Step 2: Convert to fraction form
    4,118.08/6,177.13 = 998.08/x
  3. Step 3: Cross multiply
    4,118.08x = 6,177.13 × 998.08
  4. Step 4: Simplify right side
    4,118.08x = 6,165,269.91
  5. Step 5: Solve for x
    x = 6,165,269.91/4,118.08
  6. Step 6: Final answer
    x = 1,497.12

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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.