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Finding the Fourth Proportional to 5,871.11, 8,805 and 2,583.50

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Solution

The fourth proportional to 5,871.11, 8,805 and 2,583.50 is: 3,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.11 : 8,805 = 2,583.50 : x
  2. Step 2: Convert to fraction form
    5,871.11/8,805 = 2,583.50/x
  3. Step 3: Cross multiply
    5,871.11x = 8,805 × 2,583.50
  4. Step 4: Simplify right side
    5,871.11x = 22,747,717.50
  5. Step 5: Solve for x
    x = 22,747,717.50/5,871.11
  6. Step 6: Final answer
    x = 3,874.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.