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Finding the Fourth Proportional to 4,098.38, 6,147.59 and 1,020.38

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Solution

The fourth proportional to 4,098.38, 6,147.59 and 1,020.38 is: 1,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.38 : 6,147.59 = 1,020.38 : x
  2. Step 2: Convert to fraction form
    4,098.38/6,147.59 = 1,020.38/x
  3. Step 3: Cross multiply
    4,098.38x = 6,147.59 × 1,020.38
  4. Step 4: Simplify right side
    4,098.38x = 6,272,842.04
  5. Step 5: Solve for x
    x = 6,272,842.04/4,098.38
  6. Step 6: Final answer
    x = 1,530.57

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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.