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Finding the Fourth Proportional to 5,225.38, 7,211.16 and 2,867.50

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Solution

The fourth proportional to 5,225.38, 7,211.16 and 2,867.50 is: 3,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.38 : 7,211.16 = 2,867.50 : x
  2. Step 2: Convert to fraction form
    5,225.38/7,211.16 = 2,867.50/x
  3. Step 3: Cross multiply
    5,225.38x = 7,211.16 × 2,867.50
  4. Step 4: Simplify right side
    5,225.38x = 20,678,001.30
  5. Step 5: Solve for x
    x = 20,678,001.30/5,225.38
  6. Step 6: Final answer
    x = 3,957.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.