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Finding the Fourth Proportional to 5,227.98, 7,823.34 and 4,880.40

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Solution

The fourth proportional to 5,227.98, 7,823.34 and 4,880.40 is: 7,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.98 : 7,823.34 = 4,880.40 : x
  2. Step 2: Convert to fraction form
    5,227.98/7,823.34 = 4,880.40/x
  3. Step 3: Cross multiply
    5,227.98x = 7,823.34 × 4,880.40
  4. Step 4: Simplify right side
    5,227.98x = 38,181,028.54
  5. Step 5: Solve for x
    x = 38,181,028.54/5,227.98
  6. Step 6: Final answer
    x = 7,303.21

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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.