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Finding the Fourth Proportional to 5,581.38, 7,701.91 and 4,095.57

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Solution

The fourth proportional to 5,581.38, 7,701.91 and 4,095.57 is: 5,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.38 : 7,701.91 = 4,095.57 : x
  2. Step 2: Convert to fraction form
    5,581.38/7,701.91 = 4,095.57/x
  3. Step 3: Cross multiply
    5,581.38x = 7,701.91 × 4,095.57
  4. Step 4: Simplify right side
    5,581.38x = 31,543,701.30
  5. Step 5: Solve for x
    x = 31,543,701.30/5,581.38
  6. Step 6: Final answer
    x = 5,651.60

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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.