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Finding the Fourth Proportional to 5,222.85, 7,207.50 and 2,865

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Solution

The fourth proportional to 5,222.85, 7,207.50 and 2,865 is: 3,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.85 : 7,207.50 = 2,865 : x
  2. Step 2: Convert to fraction form
    5,222.85/7,207.50 = 2,865/x
  3. Step 3: Cross multiply
    5,222.85x = 7,207.50 × 2,865
  4. Step 4: Simplify right side
    5,222.85x = 20,649,487.50
  5. Step 5: Solve for x
    x = 20,649,487.50/5,222.85
  6. Step 6: Final answer
    x = 3,953.68

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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.