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Finding the Fourth Proportional to 6,064.01, 8,364.79 and 3,825.08

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Solution

The fourth proportional to 6,064.01, 8,364.79 and 3,825.08 is: 5,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.01 : 8,364.79 = 3,825.08 : x
  2. Step 2: Convert to fraction form
    6,064.01/8,364.79 = 3,825.08/x
  3. Step 3: Cross multiply
    6,064.01x = 8,364.79 × 3,825.08
  4. Step 4: Simplify right side
    6,064.01x = 31,995,990.93
  5. Step 5: Solve for x
    x = 31,995,990.93/6,064.01
  6. Step 6: Final answer
    x = 5,276.38

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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.