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Finding the Fourth Proportional to 4,180.47, 5,768.97 and 2,292

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Solution

The fourth proportional to 4,180.47, 5,768.97 and 2,292 is: 3,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.47 : 5,768.97 = 2,292 : x
  2. Step 2: Convert to fraction form
    4,180.47/5,768.97 = 2,292/x
  3. Step 3: Cross multiply
    4,180.47x = 5,768.97 × 2,292
  4. Step 4: Simplify right side
    4,180.47x = 13,222,479.24
  5. Step 5: Solve for x
    x = 13,222,479.24/4,180.47
  6. Step 6: Final answer
    x = 3,162.92

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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.