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Finding the Fourth Proportional to 4,083.86, 6,125.79 and 1,005.86

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Solution

The fourth proportional to 4,083.86, 6,125.79 and 1,005.86 is: 1,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.86 : 6,125.79 = 1,005.86 : x
  2. Step 2: Convert to fraction form
    4,083.86/6,125.79 = 1,005.86/x
  3. Step 3: Cross multiply
    4,083.86x = 6,125.79 × 1,005.86
  4. Step 4: Simplify right side
    4,083.86x = 6,161,656.50
  5. Step 5: Solve for x
    x = 6,161,656.50/4,083.86
  6. Step 6: Final answer
    x = 1,508.78

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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.