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Finding the Fourth Proportional to 5,777.68, 8,663.96 and 2,698

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Solution

The fourth proportional to 5,777.68, 8,663.96 and 2,698 is: 4,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.68 : 8,663.96 = 2,698 : x
  2. Step 2: Convert to fraction form
    5,777.68/8,663.96 = 2,698/x
  3. Step 3: Cross multiply
    5,777.68x = 8,663.96 × 2,698
  4. Step 4: Simplify right side
    5,777.68x = 23,375,364.08
  5. Step 5: Solve for x
    x = 23,375,364.08/5,777.68
  6. Step 6: Final answer
    x = 4,045.80

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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.