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Finding the Fourth Proportional to 5,193,975.86, 7,791,355.41 and 1,550,417.98

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Solution

The fourth proportional to 5,193,975.86, 7,791,355.41 and 1,550,417.98 is: 2,325,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193,975.86 : 7,791,355.41 = 1,550,417.98 : x
  2. Step 2: Convert to fraction form
    5,193,975.86/7,791,355.41 = 1,550,417.98/x
  3. Step 3: Cross multiply
    5,193,975.86x = 7,791,355.41 × 1,550,417.98
  4. Step 4: Simplify right side
    5,193,975.86x = 12,079,857,505,550.61
  5. Step 5: Solve for x
    x = 12,079,857,505,550.61/5,193,975.86
  6. Step 6: Final answer
    x = 2,325,743.87

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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.