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Finding the Fourth Proportional to 5,478.71, 8,210.26 and 4,224.56

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Solution

The fourth proportional to 5,478.71, 8,210.26 and 4,224.56 is: 6,330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.71 : 8,210.26 = 4,224.56 : x
  2. Step 2: Convert to fraction form
    5,478.71/8,210.26 = 4,224.56/x
  3. Step 3: Cross multiply
    5,478.71x = 8,210.26 × 4,224.56
  4. Step 4: Simplify right side
    5,478.71x = 34,684,735.99
  5. Step 5: Solve for x
    x = 34,684,735.99/5,478.71
  6. Step 6: Final answer
    x = 6,330.82

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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.