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Finding the Fourth Proportional to 5,366.93, 8,049.16 and 1,471.64

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Solution

The fourth proportional to 5,366.93, 8,049.16 and 1,471.64 is: 2,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.93 : 8,049.16 = 1,471.64 : x
  2. Step 2: Convert to fraction form
    5,366.93/8,049.16 = 1,471.64/x
  3. Step 3: Cross multiply
    5,366.93x = 8,049.16 × 1,471.64
  4. Step 4: Simplify right side
    5,366.93x = 11,845,458.46
  5. Step 5: Solve for x
    x = 11,845,458.46/5,366.93
  6. Step 6: Final answer
    x = 2,207.12

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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.