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Finding the Fourth Proportional to 5,425.11, 7,492.77 and 3,653.64

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Solution

The fourth proportional to 5,425.11, 7,492.77 and 3,653.64 is: 5,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.11 : 7,492.77 = 3,653.64 : x
  2. Step 2: Convert to fraction form
    5,425.11/7,492.77 = 3,653.64/x
  3. Step 3: Cross multiply
    5,425.11x = 7,492.77 × 3,653.64
  4. Step 4: Simplify right side
    5,425.11x = 27,375,884.18
  5. Step 5: Solve for x
    x = 27,375,884.18/5,425.11
  6. Step 6: Final answer
    x = 5,046.14

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Why These Related Problems?

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