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Finding the Fourth Proportional to 5,600, 8,400.96 and 1,704.80

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Solution

The fourth proportional to 5,600, 8,400.96 and 1,704.80 is: 2,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600 : 8,400.96 = 1,704.80 : x
  2. Step 2: Convert to fraction form
    5,600/8,400.96 = 1,704.80/x
  3. Step 3: Cross multiply
    5,600x = 8,400.96 × 1,704.80
  4. Step 4: Simplify right side
    5,600x = 14,321,956.61
  5. Step 5: Solve for x
    x = 14,321,956.61/5,600
  6. Step 6: Final answer
    x = 2,557.49

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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.