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Finding the Fourth Proportional to 5,216.70, 7,824.99 and 1,267.98

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Solution

The fourth proportional to 5,216.70, 7,824.99 and 1,267.98 is: 1,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.70 : 7,824.99 = 1,267.98 : x
  2. Step 2: Convert to fraction form
    5,216.70/7,824.99 = 1,267.98/x
  3. Step 3: Cross multiply
    5,216.70x = 7,824.99 × 1,267.98
  4. Step 4: Simplify right side
    5,216.70x = 9,921,930.82
  5. Step 5: Solve for x
    x = 9,921,930.82/5,216.70
  6. Step 6: Final answer
    x = 1,901.96

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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.