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Finding the Fourth Proportional to 4,689.08, 7,034.66 and 1,767.41

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Solution

The fourth proportional to 4,689.08, 7,034.66 and 1,767.41 is: 2,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.08 : 7,034.66 = 1,767.41 : x
  2. Step 2: Convert to fraction form
    4,689.08/7,034.66 = 1,767.41/x
  3. Step 3: Cross multiply
    4,689.08x = 7,034.66 × 1,767.41
  4. Step 4: Simplify right side
    4,689.08x = 12,433,128.43
  5. Step 5: Solve for x
    x = 12,433,128.43/4,689.08
  6. Step 6: Final answer
    x = 2,651.51

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Why These Related Problems?

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