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Finding the Fourth Proportional to 3,689.77, 5,536.57 and 1,468.13

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Solution

The fourth proportional to 3,689.77, 5,536.57 and 1,468.13 is: 2,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.77 : 5,536.57 = 1,468.13 : x
  2. Step 2: Convert to fraction form
    3,689.77/5,536.57 = 1,468.13/x
  3. Step 3: Cross multiply
    3,689.77x = 5,536.57 × 1,468.13
  4. Step 4: Simplify right side
    3,689.77x = 8,128,369.72
  5. Step 5: Solve for x
    x = 8,128,369.72/3,689.77
  6. Step 6: Final answer
    x = 2,202.95

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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.