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Finding the Fourth Proportional to 5,785.26, 8,672.30 and 3,699.38

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Solution

The fourth proportional to 5,785.26, 8,672.30 and 3,699.38 is: 5,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.26 : 8,672.30 = 3,699.38 : x
  2. Step 2: Convert to fraction form
    5,785.26/8,672.30 = 3,699.38/x
  3. Step 3: Cross multiply
    5,785.26x = 8,672.30 × 3,699.38
  4. Step 4: Simplify right side
    5,785.26x = 32,082,133.17
  5. Step 5: Solve for x
    x = 32,082,133.17/5,785.26
  6. Step 6: Final answer
    x = 5,545.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.