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Finding the Fourth Proportional to 5,170.97, 7,737.99 and 4,480.01

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Solution

The fourth proportional to 5,170.97, 7,737.99 and 4,480.01 is: 6,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.97 : 7,737.99 = 4,480.01 : x
  2. Step 2: Convert to fraction form
    5,170.97/7,737.99 = 4,480.01/x
  3. Step 3: Cross multiply
    5,170.97x = 7,737.99 × 4,480.01
  4. Step 4: Simplify right side
    5,170.97x = 34,666,272.58
  5. Step 5: Solve for x
    x = 34,666,272.58/5,170.97
  6. Step 6: Final answer
    x = 6,704.02

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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.