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Finding the Fourth Proportional to 4,098.11, 6,147.16 and 1,020.11

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Solution

The fourth proportional to 4,098.11, 6,147.16 and 1,020.11 is: 1,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.11 : 6,147.16 = 1,020.11 : x
  2. Step 2: Convert to fraction form
    4,098.11/6,147.16 = 1,020.11/x
  3. Step 3: Cross multiply
    4,098.11x = 6,147.16 × 1,020.11
  4. Step 4: Simplify right side
    4,098.11x = 6,270,746.10
  5. Step 5: Solve for x
    x = 6,270,746.10/4,098.11
  6. Step 6: Final answer
    x = 1,530.16

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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.