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Finding the Fourth Proportional to 5,222.96, 7,207.66 and 2,865.12

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Solution

The fourth proportional to 5,222.96, 7,207.66 and 2,865.12 is: 3,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.96 : 7,207.66 = 2,865.12 : x
  2. Step 2: Convert to fraction form
    5,222.96/7,207.66 = 2,865.12/x
  3. Step 3: Cross multiply
    5,222.96x = 7,207.66 × 2,865.12
  4. Step 4: Simplify right side
    5,222.96x = 20,650,810.82
  5. Step 5: Solve for x
    x = 20,650,810.82/5,222.96
  6. Step 6: Final answer
    x = 3,953.85

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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.