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Finding the Fourth Proportional to 5,280.52, 7,910.70 and 3,201.16

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Solution

The fourth proportional to 5,280.52, 7,910.70 and 3,201.16 is: 4,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.52 : 7,910.70 = 3,201.16 : x
  2. Step 2: Convert to fraction form
    5,280.52/7,910.70 = 3,201.16/x
  3. Step 3: Cross multiply
    5,280.52x = 7,910.70 × 3,201.16
  4. Step 4: Simplify right side
    5,280.52x = 25,323,416.41
  5. Step 5: Solve for x
    x = 25,323,416.41/5,280.52
  6. Step 6: Final answer
    x = 4,795.63

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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.