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Finding the Fourth Proportional to 3,133.89, 4,697.74 and 1,747.88

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Solution

The fourth proportional to 3,133.89, 4,697.74 and 1,747.88 is: 2,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.89 : 4,697.74 = 1,747.88 : x
  2. Step 2: Convert to fraction form
    3,133.89/4,697.74 = 1,747.88/x
  3. Step 3: Cross multiply
    3,133.89x = 4,697.74 × 1,747.88
  4. Step 4: Simplify right side
    3,133.89x = 8,211,085.79
  5. Step 5: Solve for x
    x = 8,211,085.79/3,133.89
  6. Step 6: Final answer
    x = 2,620.09

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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.