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Finding the Fourth Proportional to 5,391.74, 8,092.47 and 3,537.65

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Solution

The fourth proportional to 5,391.74, 8,092.47 and 3,537.65 is: 5,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.74 : 8,092.47 = 3,537.65 : x
  2. Step 2: Convert to fraction form
    5,391.74/8,092.47 = 3,537.65/x
  3. Step 3: Cross multiply
    5,391.74x = 8,092.47 × 3,537.65
  4. Step 4: Simplify right side
    5,391.74x = 28,628,326.50
  5. Step 5: Solve for x
    x = 28,628,326.50/5,391.74
  6. Step 6: Final answer
    x = 5,309.66

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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.