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Finding the Fourth Proportional to 4,697.96, 7,047.84 and 2,100.88

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Solution

The fourth proportional to 4,697.96, 7,047.84 and 2,100.88 is: 3,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.96 : 7,047.84 = 2,100.88 : x
  2. Step 2: Convert to fraction form
    4,697.96/7,047.84 = 2,100.88/x
  3. Step 3: Cross multiply
    4,697.96x = 7,047.84 × 2,100.88
  4. Step 4: Simplify right side
    4,697.96x = 14,806,630.86
  5. Step 5: Solve for x
    x = 14,806,630.86/4,697.96
  6. Step 6: Final answer
    x = 3,151.71

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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.