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Finding the Fourth Proportional to 4,073.86, 6,111.96 and 1,300.96

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Solution

The fourth proportional to 4,073.86, 6,111.96 and 1,300.96 is: 1,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.86 : 6,111.96 = 1,300.96 : x
  2. Step 2: Convert to fraction form
    4,073.86/6,111.96 = 1,300.96/x
  3. Step 3: Cross multiply
    4,073.86x = 6,111.96 × 1,300.96
  4. Step 4: Simplify right side
    4,073.86x = 7,951,415.48
  5. Step 5: Solve for x
    x = 7,951,415.48/4,073.86
  6. Step 6: Final answer
    x = 1,951.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.