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Finding the Fourth Proportional to 5,855.36, 8,079.60 and 3,497

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Solution

The fourth proportional to 5,855.36, 8,079.60 and 3,497 is: 4,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.36 : 8,079.60 = 3,497 : x
  2. Step 2: Convert to fraction form
    5,855.36/8,079.60 = 3,497/x
  3. Step 3: Cross multiply
    5,855.36x = 8,079.60 × 3,497
  4. Step 4: Simplify right side
    5,855.36x = 28,254,361.20
  5. Step 5: Solve for x
    x = 28,254,361.20/5,855.36
  6. Step 6: Final answer
    x = 4,825.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.