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Finding the Fourth Proportional to 5,210.49, 7,823.83 and 4,227.15

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Solution

The fourth proportional to 5,210.49, 7,823.83 and 4,227.15 is: 6,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.49 : 7,823.83 = 4,227.15 : x
  2. Step 2: Convert to fraction form
    5,210.49/7,823.83 = 4,227.15/x
  3. Step 3: Cross multiply
    5,210.49x = 7,823.83 × 4,227.15
  4. Step 4: Simplify right side
    5,210.49x = 33,072,502.98
  5. Step 5: Solve for x
    x = 33,072,502.98/5,210.49
  6. Step 6: Final answer
    x = 6,347.29

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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.