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Finding the Fourth Proportional to 6,175.74, 8,523.18 and 3,523.38

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Solution

The fourth proportional to 6,175.74, 8,523.18 and 3,523.38 is: 4,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.74 : 8,523.18 = 3,523.38 : x
  2. Step 2: Convert to fraction form
    6,175.74/8,523.18 = 3,523.38/x
  3. Step 3: Cross multiply
    6,175.74x = 8,523.18 × 3,523.38
  4. Step 4: Simplify right side
    6,175.74x = 30,030,401.95
  5. Step 5: Solve for x
    x = 30,030,401.95/6,175.74
  6. Step 6: Final answer
    x = 4,862.64

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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.