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Finding the Fourth Proportional to 5,777,643.27, 7,973,049.54 and 3,199,268.67

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Solution

The fourth proportional to 5,777,643.27, 7,973,049.54 and 3,199,268.67 is: 4,414,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777,643.27 : 7,973,049.54 = 3,199,268.67 : x
  2. Step 2: Convert to fraction form
    5,777,643.27/7,973,049.54 = 3,199,268.67/x
  3. Step 3: Cross multiply
    5,777,643.27x = 7,973,049.54 × 3,199,268.67
  4. Step 4: Simplify right side
    5,777,643.27x = 25,507,927,597,679.91
  5. Step 5: Solve for x
    x = 25,507,927,597,679.91/5,777,643.27
  6. Step 6: Final answer
    x = 4,414,936.40

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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.