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Finding the Fourth Proportional to 6,159.63, 8,501.25 and 3,922.47

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Solution

The fourth proportional to 6,159.63, 8,501.25 and 3,922.47 is: 5,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.63 : 8,501.25 = 3,922.47 : x
  2. Step 2: Convert to fraction form
    6,159.63/8,501.25 = 3,922.47/x
  3. Step 3: Cross multiply
    6,159.63x = 8,501.25 × 3,922.47
  4. Step 4: Simplify right side
    6,159.63x = 33,345,898.09
  5. Step 5: Solve for x
    x = 33,345,898.09/6,159.63
  6. Step 6: Final answer
    x = 5,413.62

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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.