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Finding the Fourth Proportional to 6,175.71, 8,523.19 and 3,523.50

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Solution

The fourth proportional to 6,175.71, 8,523.19 and 3,523.50 is: 4,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.71 : 8,523.19 = 3,523.50 : x
  2. Step 2: Convert to fraction form
    6,175.71/8,523.19 = 3,523.50/x
  3. Step 3: Cross multiply
    6,175.71x = 8,523.19 × 3,523.50
  4. Step 4: Simplify right side
    6,175.71x = 30,031,464.37
  5. Step 5: Solve for x
    x = 30,031,464.37/6,175.71
  6. Step 6: Final answer
    x = 4,862.84

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