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Finding the Fourth Proportional to 5,962.78, 8,944.24 and 1,802.86

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Solution

The fourth proportional to 5,962.78, 8,944.24 and 1,802.86 is: 2,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.78 : 8,944.24 = 1,802.86 : x
  2. Step 2: Convert to fraction form
    5,962.78/8,944.24 = 1,802.86/x
  3. Step 3: Cross multiply
    5,962.78x = 8,944.24 × 1,802.86
  4. Step 4: Simplify right side
    5,962.78x = 16,125,212.53
  5. Step 5: Solve for x
    x = 16,125,212.53/5,962.78
  6. Step 6: Final answer
    x = 2,704.31

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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.