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Finding the Fourth Proportional to 4,098.63, 6,147.96 and 1,020.63

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Solution

The fourth proportional to 4,098.63, 6,147.96 and 1,020.63 is: 1,530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.63 : 6,147.96 = 1,020.63 : x
  2. Step 2: Convert to fraction form
    4,098.63/6,147.96 = 1,020.63/x
  3. Step 3: Cross multiply
    4,098.63x = 6,147.96 × 1,020.63
  4. Step 4: Simplify right side
    4,098.63x = 6,274,792.41
  5. Step 5: Solve for x
    x = 6,274,792.41/4,098.63
  6. Step 6: Final answer
    x = 1,530.95

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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.