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Finding the Fourth Proportional to 5,776,805.64, 7,972,240.86 and 3,198,486.42

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Solution

The fourth proportional to 5,776,805.64, 7,972,240.86 and 3,198,486.42 is: 4,414,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776,805.64 : 7,972,240.86 = 3,198,486.42 : x
  2. Step 2: Convert to fraction form
    5,776,805.64/7,972,240.86 = 3,198,486.42/x
  3. Step 3: Cross multiply
    5,776,805.64x = 7,972,240.86 × 3,198,486.42
  4. Step 4: Simplify right side
    5,776,805.64x = 25,499,104,127,679.12
  5. Step 5: Solve for x
    x = 25,499,104,127,679.12/5,776,805.64
  6. Step 6: Final answer
    x = 4,414,049.17

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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.