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Finding the Fourth Proportional to 5,762.71, 8,644.25 and 2,252.58

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Solution

The fourth proportional to 5,762.71, 8,644.25 and 2,252.58 is: 3,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.71 : 8,644.25 = 2,252.58 : x
  2. Step 2: Convert to fraction form
    5,762.71/8,644.25 = 2,252.58/x
  3. Step 3: Cross multiply
    5,762.71x = 8,644.25 × 2,252.58
  4. Step 4: Simplify right side
    5,762.71x = 19,471,837.88
  5. Step 5: Solve for x
    x = 19,471,837.88/5,762.71
  6. Step 6: Final answer
    x = 3,378.94

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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.