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Finding the Fourth Proportional to 5,584.71, 8,371.92 and 2,772.93

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Solution

The fourth proportional to 5,584.71, 8,371.92 and 2,772.93 is: 4,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.71 : 8,371.92 = 2,772.93 : x
  2. Step 2: Convert to fraction form
    5,584.71/8,371.92 = 2,772.93/x
  3. Step 3: Cross multiply
    5,584.71x = 8,371.92 × 2,772.93
  4. Step 4: Simplify right side
    5,584.71x = 23,214,748.13
  5. Step 5: Solve for x
    x = 23,214,748.13/5,584.71
  6. Step 6: Final answer
    x = 4,156.84

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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.