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Finding the Fourth Proportional to 5,655.16, 8,486.84 and 3,194.78

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Solution

The fourth proportional to 5,655.16, 8,486.84 and 3,194.78 is: 4,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.16 : 8,486.84 = 3,194.78 : x
  2. Step 2: Convert to fraction form
    5,655.16/8,486.84 = 3,194.78/x
  3. Step 3: Cross multiply
    5,655.16x = 8,486.84 × 3,194.78
  4. Step 4: Simplify right side
    5,655.16x = 27,113,570.72
  5. Step 5: Solve for x
    x = 27,113,570.72/5,655.16
  6. Step 6: Final answer
    x = 4,794.49

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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.