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Finding the Fourth Proportional to 5,197,735.86, 7,797,932.67 and 2,002,004.34

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Solution

The fourth proportional to 5,197,735.86, 7,797,932.67 and 2,002,004.34 is: 3,003,518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197,735.86 : 7,797,932.67 = 2,002,004.34 : x
  2. Step 2: Convert to fraction form
    5,197,735.86/7,797,932.67 = 2,002,004.34/x
  3. Step 3: Cross multiply
    5,197,735.86x = 7,797,932.67 × 2,002,004.34
  4. Step 4: Simplify right side
    5,197,735.86x = 15,611,495,048,367.79
  5. Step 5: Solve for x
    x = 15,611,495,048,367.79/5,197,735.86
  6. Step 6: Final answer
    x = 3,003,518.35

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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.