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Finding the Fourth Proportional to 5,613.17, 7,745.82 and 3,095.31

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Solution

The fourth proportional to 5,613.17, 7,745.82 and 3,095.31 is: 4,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.17 : 7,745.82 = 3,095.31 : x
  2. Step 2: Convert to fraction form
    5,613.17/7,745.82 = 3,095.31/x
  3. Step 3: Cross multiply
    5,613.17x = 7,745.82 × 3,095.31
  4. Step 4: Simplify right side
    5,613.17x = 23,975,675.38
  5. Step 5: Solve for x
    x = 23,975,675.38/5,613.17
  6. Step 6: Final answer
    x = 4,271.33

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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.