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Finding the Fourth Proportional to 5,738.44, 8,602.16 and 2,447

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Solution

The fourth proportional to 5,738.44, 8,602.16 and 2,447 is: 3,668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.44 : 8,602.16 = 2,447 : x
  2. Step 2: Convert to fraction form
    5,738.44/8,602.16 = 2,447/x
  3. Step 3: Cross multiply
    5,738.44x = 8,602.16 × 2,447
  4. Step 4: Simplify right side
    5,738.44x = 21,049,485.52
  5. Step 5: Solve for x
    x = 21,049,485.52/5,738.44
  6. Step 6: Final answer
    x = 3,668.15

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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.