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Finding the Fourth Proportional to 5,225.46, 7,211.64 and 2,986.91

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Solution

The fourth proportional to 5,225.46, 7,211.64 and 2,986.91 is: 4,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.46 : 7,211.64 = 2,986.91 : x
  2. Step 2: Convert to fraction form
    5,225.46/7,211.64 = 2,986.91/x
  3. Step 3: Cross multiply
    5,225.46x = 7,211.64 × 2,986.91
  4. Step 4: Simplify right side
    5,225.46x = 21,540,499.42
  5. Step 5: Solve for x
    x = 21,540,499.42/5,225.46
  6. Step 6: Final answer
    x = 4,122.22

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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.