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Finding the Fourth Proportional to 5,309.24, 7,967.98 and 3,677.22

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Solution

The fourth proportional to 5,309.24, 7,967.98 and 3,677.22 is: 5,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.24 : 7,967.98 = 3,677.22 : x
  2. Step 2: Convert to fraction form
    5,309.24/7,967.98 = 3,677.22/x
  3. Step 3: Cross multiply
    5,309.24x = 7,967.98 × 3,677.22
  4. Step 4: Simplify right side
    5,309.24x = 29,300,015.42
  5. Step 5: Solve for x
    x = 29,300,015.42/5,309.24
  6. Step 6: Final answer
    x = 5,518.68

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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.