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Finding the Fourth Proportional to 3,682.35, 5,523.52 and 3,031.71

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Solution

The fourth proportional to 3,682.35, 5,523.52 and 3,031.71 is: 4,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.35 : 5,523.52 = 3,031.71 : x
  2. Step 2: Convert to fraction form
    3,682.35/5,523.52 = 3,031.71/x
  3. Step 3: Cross multiply
    3,682.35x = 5,523.52 × 3,031.71
  4. Step 4: Simplify right side
    3,682.35x = 16,745,739.08
  5. Step 5: Solve for x
    x = 16,745,739.08/3,682.35
  6. Step 6: Final answer
    x = 4,547.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.