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Finding the Fourth Proportional to 5,309.58, 7,967.82 and 2,022.69

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Solution

The fourth proportional to 5,309.58, 7,967.82 and 2,022.69 is: 3,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.58 : 7,967.82 = 2,022.69 : x
  2. Step 2: Convert to fraction form
    5,309.58/7,967.82 = 2,022.69/x
  3. Step 3: Cross multiply
    5,309.58x = 7,967.82 × 2,022.69
  4. Step 4: Simplify right side
    5,309.58x = 16,116,429.84
  5. Step 5: Solve for x
    x = 16,116,429.84/5,309.58
  6. Step 6: Final answer
    x = 3,035.35

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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.