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Finding the Fourth Proportional to 3,876,465.72, 5,815,573.55 and 1,282,763.86

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Solution

The fourth proportional to 3,876,465.72, 5,815,573.55 and 1,282,763.86 is: 1,924,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876,465.72 : 5,815,573.55 = 1,282,763.86 : x
  2. Step 2: Convert to fraction form
    3,876,465.72/5,815,573.55 = 1,282,763.86/x
  3. Step 3: Cross multiply
    3,876,465.72x = 5,815,573.55 × 1,282,763.86
  4. Step 4: Simplify right side
    3,876,465.72x = 7,460,007,589,650.84
  5. Step 5: Solve for x
    x = 7,460,007,589,650.84/3,876,465.72
  6. Step 6: Final answer
    x = 1,924,435.33

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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.