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Finding the Fourth Proportional to 5,267.31, 7,883.82 and 3,880.10

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Solution

The fourth proportional to 5,267.31, 7,883.82 and 3,880.10 is: 5,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.31 : 7,883.82 = 3,880.10 : x
  2. Step 2: Convert to fraction form
    5,267.31/7,883.82 = 3,880.10/x
  3. Step 3: Cross multiply
    5,267.31x = 7,883.82 × 3,880.10
  4. Step 4: Simplify right side
    5,267.31x = 30,590,009.98
  5. Step 5: Solve for x
    x = 30,590,009.98/5,267.31
  6. Step 6: Final answer
    x = 5,807.52

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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.