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Finding the Fourth Proportional to 5,806.66, 8,009.09 and 3,569.79

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Solution

The fourth proportional to 5,806.66, 8,009.09 and 3,569.79 is: 4,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.66 : 8,009.09 = 3,569.79 : x
  2. Step 2: Convert to fraction form
    5,806.66/8,009.09 = 3,569.79/x
  3. Step 3: Cross multiply
    5,806.66x = 8,009.09 × 3,569.79
  4. Step 4: Simplify right side
    5,806.66x = 28,590,751.54
  5. Step 5: Solve for x
    x = 28,590,751.54/5,806.66
  6. Step 6: Final answer
    x = 4,923.79

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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.