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Finding the Fourth Proportional to 5,924.78, 8,892.54 and 3,153.76

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Solution

The fourth proportional to 5,924.78, 8,892.54 and 3,153.76 is: 4,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.78 : 8,892.54 = 3,153.76 : x
  2. Step 2: Convert to fraction form
    5,924.78/8,892.54 = 3,153.76/x
  3. Step 3: Cross multiply
    5,924.78x = 8,892.54 × 3,153.76
  4. Step 4: Simplify right side
    5,924.78x = 28,044,936.95
  5. Step 5: Solve for x
    x = 28,044,936.95/5,924.78
  6. Step 6: Final answer
    x = 4,733.50

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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.