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Finding the Fourth Proportional to 3,486.30, 5,230.20 and 1,020.90

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Solution

The fourth proportional to 3,486.30, 5,230.20 and 1,020.90 is: 1,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.30 : 5,230.20 = 1,020.90 : x
  2. Step 2: Convert to fraction form
    3,486.30/5,230.20 = 1,020.90/x
  3. Step 3: Cross multiply
    3,486.30x = 5,230.20 × 1,020.90
  4. Step 4: Simplify right side
    3,486.30x = 5,339,511.18
  5. Step 5: Solve for x
    x = 5,339,511.18/3,486.30
  6. Step 6: Final answer
    x = 1,531.57

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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.