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Finding the Fourth Proportional to 5,974.76, 8,962.78 and 2,028.86

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Solution

The fourth proportional to 5,974.76, 8,962.78 and 2,028.86 is: 3,043.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.76 : 8,962.78 = 2,028.86 : x
  2. Step 2: Convert to fraction form
    5,974.76/8,962.78 = 2,028.86/x
  3. Step 3: Cross multiply
    5,974.76x = 8,962.78 × 2,028.86
  4. Step 4: Simplify right side
    5,974.76x = 18,184,225.83
  5. Step 5: Solve for x
    x = 18,184,225.83/5,974.76
  6. Step 6: Final answer
    x = 3,043.51

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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.