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Finding the Fourth Proportional to 4,098.08, 6,147.12 and 1,020.08

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Solution

The fourth proportional to 4,098.08, 6,147.12 and 1,020.08 is: 1,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.08 : 6,147.12 = 1,020.08 : x
  2. Step 2: Convert to fraction form
    4,098.08/6,147.12 = 1,020.08/x
  3. Step 3: Cross multiply
    4,098.08x = 6,147.12 × 1,020.08
  4. Step 4: Simplify right side
    4,098.08x = 6,270,554.17
  5. Step 5: Solve for x
    x = 6,270,554.17/4,098.08
  6. Step 6: Final answer
    x = 1,530.12

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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.