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Finding the Fourth Proportional to 5,216.49, 7,196.97 and 2,976.76

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Solution

The fourth proportional to 5,216.49, 7,196.97 and 2,976.76 is: 4,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.49 : 7,196.97 = 2,976.76 : x
  2. Step 2: Convert to fraction form
    5,216.49/7,196.97 = 2,976.76/x
  3. Step 3: Cross multiply
    5,216.49x = 7,196.97 × 2,976.76
  4. Step 4: Simplify right side
    5,216.49x = 21,423,645.59
  5. Step 5: Solve for x
    x = 21,423,645.59/5,216.49
  6. Step 6: Final answer
    x = 4,106.91

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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.