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Finding the Fourth Proportional to 5,865.47, 8,093.84 and 3,475.02

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Solution

The fourth proportional to 5,865.47, 8,093.84 and 3,475.02 is: 4,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.47 : 8,093.84 = 3,475.02 : x
  2. Step 2: Convert to fraction form
    5,865.47/8,093.84 = 3,475.02/x
  3. Step 3: Cross multiply
    5,865.47x = 8,093.84 × 3,475.02
  4. Step 4: Simplify right side
    5,865.47x = 28,126,255.88
  5. Step 5: Solve for x
    x = 28,126,255.88/5,865.47
  6. Step 6: Final answer
    x = 4,795.23

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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.