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Finding the Fourth Proportional to 5,225.70, 7,211.46 and 2,867.86

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Solution

The fourth proportional to 5,225.70, 7,211.46 and 2,867.86 is: 3,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.70 : 7,211.46 = 2,867.86 : x
  2. Step 2: Convert to fraction form
    5,225.70/7,211.46 = 2,867.86/x
  3. Step 3: Cross multiply
    5,225.70x = 7,211.46 × 2,867.86
  4. Step 4: Simplify right side
    5,225.70x = 20,681,457.68
  5. Step 5: Solve for x
    x = 20,681,457.68/5,225.70
  6. Step 6: Final answer
    x = 3,957.64

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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.