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Finding the Fourth Proportional to 5,369.69, 7,415.81 and 3,695.42

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Solution

The fourth proportional to 5,369.69, 7,415.81 and 3,695.42 is: 5,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.69 : 7,415.81 = 3,695.42 : x
  2. Step 2: Convert to fraction form
    5,369.69/7,415.81 = 3,695.42/x
  3. Step 3: Cross multiply
    5,369.69x = 7,415.81 × 3,695.42
  4. Step 4: Simplify right side
    5,369.69x = 27,404,514.11
  5. Step 5: Solve for x
    x = 27,404,514.11/5,369.69
  6. Step 6: Final answer
    x = 5,103.56

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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.