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Finding the Fourth Proportional to 5,211.10, 7,797.21 and 5,152.78

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Solution

The fourth proportional to 5,211.10, 7,797.21 and 5,152.78 is: 7,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.10 : 7,797.21 = 5,152.78 : x
  2. Step 2: Convert to fraction form
    5,211.10/7,797.21 = 5,152.78/x
  3. Step 3: Cross multiply
    5,211.10x = 7,797.21 × 5,152.78
  4. Step 4: Simplify right side
    5,211.10x = 40,177,307.74
  5. Step 5: Solve for x
    x = 40,177,307.74/5,211.10
  6. Step 6: Final answer
    x = 7,709.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.