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Finding the Fourth Proportional to 3,682.46, 5,523.69 and 3,031.83

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Solution

The fourth proportional to 3,682.46, 5,523.69 and 3,031.83 is: 4,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.46 : 5,523.69 = 3,031.83 : x
  2. Step 2: Convert to fraction form
    3,682.46/5,523.69 = 3,031.83/x
  3. Step 3: Cross multiply
    3,682.46x = 5,523.69 × 3,031.83
  4. Step 4: Simplify right side
    3,682.46x = 16,746,846.28
  5. Step 5: Solve for x
    x = 16,746,846.28/3,682.46
  6. Step 6: Final answer
    x = 4,547.74

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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.