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Finding the Fourth Proportional to 4,129.86, 6,194.82 and 1,051.86

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Solution

The fourth proportional to 4,129.86, 6,194.82 and 1,051.86 is: 1,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.86 : 6,194.82 = 1,051.86 : x
  2. Step 2: Convert to fraction form
    4,129.86/6,194.82 = 1,051.86/x
  3. Step 3: Cross multiply
    4,129.86x = 6,194.82 × 1,051.86
  4. Step 4: Simplify right side
    4,129.86x = 6,516,083.37
  5. Step 5: Solve for x
    x = 6,516,083.37/4,129.86
  6. Step 6: Final answer
    x = 1,577.80

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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.