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Finding the Fourth Proportional to 5,707.08, 8,560.09 and 2,009.12

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Solution

The fourth proportional to 5,707.08, 8,560.09 and 2,009.12 is: 3,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.08 : 8,560.09 = 2,009.12 : x
  2. Step 2: Convert to fraction form
    5,707.08/8,560.09 = 2,009.12/x
  3. Step 3: Cross multiply
    5,707.08x = 8,560.09 × 2,009.12
  4. Step 4: Simplify right side
    5,707.08x = 17,198,222.59
  5. Step 5: Solve for x
    x = 17,198,222.59/5,707.08
  6. Step 6: Final answer
    x = 3,013.49

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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.