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Finding the Fourth Proportional to 5,297.94, 7,309.49 and 3,059.52

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Solution

The fourth proportional to 5,297.94, 7,309.49 and 3,059.52 is: 4,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.94 : 7,309.49 = 3,059.52 : x
  2. Step 2: Convert to fraction form
    5,297.94/7,309.49 = 3,059.52/x
  3. Step 3: Cross multiply
    5,297.94x = 7,309.49 × 3,059.52
  4. Step 4: Simplify right side
    5,297.94x = 22,363,515.55
  5. Step 5: Solve for x
    x = 22,363,515.55/5,297.94
  6. Step 6: Final answer
    x = 4,221.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.