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Finding the Fourth Proportional to 5,708.61, 8,561.93 and 2,009.97

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Solution

The fourth proportional to 5,708.61, 8,561.93 and 2,009.97 is: 3,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.61 : 8,561.93 = 2,009.97 : x
  2. Step 2: Convert to fraction form
    5,708.61/8,561.93 = 2,009.97/x
  3. Step 3: Cross multiply
    5,708.61x = 8,561.93 × 2,009.97
  4. Step 4: Simplify right side
    5,708.61x = 17,209,212.39
  5. Step 5: Solve for x
    x = 17,209,212.39/5,708.61
  6. Step 6: Final answer
    x = 3,014.61

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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.