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Finding the Fourth Proportional to 5,877.92, 8,817.24 and 1,929.44

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Solution

The fourth proportional to 5,877.92, 8,817.24 and 1,929.44 is: 2,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.92 : 8,817.24 = 1,929.44 : x
  2. Step 2: Convert to fraction form
    5,877.92/8,817.24 = 1,929.44/x
  3. Step 3: Cross multiply
    5,877.92x = 8,817.24 × 1,929.44
  4. Step 4: Simplify right side
    5,877.92x = 17,012,335.55
  5. Step 5: Solve for x
    x = 17,012,335.55/5,877.92
  6. Step 6: Final answer
    x = 2,894.28

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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.