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Finding the Fourth Proportional to 3,860,494.86, 5,786,977 and 1,838,195.40

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Solution

The fourth proportional to 3,860,494.86, 5,786,977 and 1,838,195.40 is: 2,755,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860,494.86 : 5,786,977 = 1,838,195.40 : x
  2. Step 2: Convert to fraction form
    3,860,494.86/5,786,977 = 1,838,195.40/x
  3. Step 3: Cross multiply
    3,860,494.86x = 5,786,977 × 1,838,195.40
  4. Step 4: Simplify right side
    3,860,494.86x = 10,637,594,501,305.80
  5. Step 5: Solve for x
    x = 10,637,594,501,305.80/3,860,494.86
  6. Step 6: Final answer
    x = 2,755,500.24

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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.