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Finding the Fourth Proportional to 5,620.98, 8,420.52 and 3,424.26

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Solution

The fourth proportional to 5,620.98, 8,420.52 and 3,424.26 is: 5,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.98 : 8,420.52 = 3,424.26 : x
  2. Step 2: Convert to fraction form
    5,620.98/8,420.52 = 3,424.26/x
  3. Step 3: Cross multiply
    5,620.98x = 8,420.52 × 3,424.26
  4. Step 4: Simplify right side
    5,620.98x = 28,834,049.82
  5. Step 5: Solve for x
    x = 28,834,049.82/5,620.98
  6. Step 6: Final answer
    x = 5,129.72

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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.