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Finding the Fourth Proportional to 3,405.26, 5,107.90 and 2,362.20

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Solution

The fourth proportional to 3,405.26, 5,107.90 and 2,362.20 is: 3,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.26 : 5,107.90 = 2,362.20 : x
  2. Step 2: Convert to fraction form
    3,405.26/5,107.90 = 2,362.20/x
  3. Step 3: Cross multiply
    3,405.26x = 5,107.90 × 2,362.20
  4. Step 4: Simplify right side
    3,405.26x = 12,065,881.38
  5. Step 5: Solve for x
    x = 12,065,881.38/3,405.26
  6. Step 6: Final answer
    x = 3,543.31

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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.