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Finding the Fourth Proportional to 5,093,985.77, 7,029,737.42 and 2,770,898.34

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Solution

The fourth proportional to 5,093,985.77, 7,029,737.42 and 2,770,898.34 is: 3,823,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093,985.77 : 7,029,737.42 = 2,770,898.34 : x
  2. Step 2: Convert to fraction form
    5,093,985.77/7,029,737.42 = 2,770,898.34/x
  3. Step 3: Cross multiply
    5,093,985.77x = 7,029,737.42 × 2,770,898.34
  4. Step 4: Simplify right side
    5,093,985.77x = 19,478,687,733,859.39
  5. Step 5: Solve for x
    x = 19,478,687,733,859.39/5,093,985.77
  6. Step 6: Final answer
    x = 3,823,859.87

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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.