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Finding the Fourth Proportional to 5,216.54, 7,196.99 and 2,976.80

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Solution

The fourth proportional to 5,216.54, 7,196.99 and 2,976.80 is: 4,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.54 : 7,196.99 = 2,976.80 : x
  2. Step 2: Convert to fraction form
    5,216.54/7,196.99 = 2,976.80/x
  3. Step 3: Cross multiply
    5,216.54x = 7,196.99 × 2,976.80
  4. Step 4: Simplify right side
    5,216.54x = 21,423,948.96
  5. Step 5: Solve for x
    x = 21,423,948.96/5,216.54
  6. Step 6: Final answer
    x = 4,106.93

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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.