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Finding the Fourth Proportional to 5,792.08, 8,699.77 and 3,456.65

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Solution

The fourth proportional to 5,792.08, 8,699.77 and 3,456.65 is: 5,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.08 : 8,699.77 = 3,456.65 : x
  2. Step 2: Convert to fraction form
    5,792.08/8,699.77 = 3,456.65/x
  3. Step 3: Cross multiply
    5,792.08x = 8,699.77 × 3,456.65
  4. Step 4: Simplify right side
    5,792.08x = 30,072,059.97
  5. Step 5: Solve for x
    x = 30,072,059.97/5,792.08
  6. Step 6: Final answer
    x = 5,191.93

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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.