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Finding the Fourth Proportional to 5,222.25, 7,206.48 and 2,984.04

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Solution

The fourth proportional to 5,222.25, 7,206.48 and 2,984.04 is: 4,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.25 : 7,206.48 = 2,984.04 : x
  2. Step 2: Convert to fraction form
    5,222.25/7,206.48 = 2,984.04/x
  3. Step 3: Cross multiply
    5,222.25x = 7,206.48 × 2,984.04
  4. Step 4: Simplify right side
    5,222.25x = 21,504,424.58
  5. Step 5: Solve for x
    x = 21,504,424.58/5,222.25
  6. Step 6: Final answer
    x = 4,117.85

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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.