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Finding the Fourth Proportional to 5,377.48, 8,072.70 and 3,200.20

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Solution

The fourth proportional to 5,377.48, 8,072.70 and 3,200.20 is: 4,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.48 : 8,072.70 = 3,200.20 : x
  2. Step 2: Convert to fraction form
    5,377.48/8,072.70 = 3,200.20/x
  3. Step 3: Cross multiply
    5,377.48x = 8,072.70 × 3,200.20
  4. Step 4: Simplify right side
    5,377.48x = 25,834,254.54
  5. Step 5: Solve for x
    x = 25,834,254.54/5,377.48
  6. Step 6: Final answer
    x = 4,804.16

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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.