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Finding the Fourth Proportional to 5,455.43, 7,530.80 and 3,689.42

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Solution

The fourth proportional to 5,455.43, 7,530.80 and 3,689.42 is: 5,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.43 : 7,530.80 = 3,689.42 : x
  2. Step 2: Convert to fraction form
    5,455.43/7,530.80 = 3,689.42/x
  3. Step 3: Cross multiply
    5,455.43x = 7,530.80 × 3,689.42
  4. Step 4: Simplify right side
    5,455.43x = 27,784,284.14
  5. Step 5: Solve for x
    x = 27,784,284.14/5,455.43
  6. Step 6: Final answer
    x = 5,092.96

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