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Finding the Fourth Proportional to 4,156.47, 5,733.47 and 2,663.84

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Solution

The fourth proportional to 4,156.47, 5,733.47 and 2,663.84 is: 3,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.47 : 5,733.47 = 2,663.84 : x
  2. Step 2: Convert to fraction form
    4,156.47/5,733.47 = 2,663.84/x
  3. Step 3: Cross multiply
    4,156.47x = 5,733.47 × 2,663.84
  4. Step 4: Simplify right side
    4,156.47x = 15,273,067.72
  5. Step 5: Solve for x
    x = 15,273,067.72/4,156.47
  6. Step 6: Final answer
    x = 3,674.53

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1.5x scale

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.