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Finding the Fourth Proportional to 4,661.64, 6,992.42 and 2,195.11

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Solution

The fourth proportional to 4,661.64, 6,992.42 and 2,195.11 is: 3,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.64 : 6,992.42 = 2,195.11 : x
  2. Step 2: Convert to fraction form
    4,661.64/6,992.42 = 2,195.11/x
  3. Step 3: Cross multiply
    4,661.64x = 6,992.42 × 2,195.11
  4. Step 4: Simplify right side
    4,661.64x = 15,349,128.83
  5. Step 5: Solve for x
    x = 15,349,128.83/4,661.64
  6. Step 6: Final answer
    x = 3,292.65

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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.