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Finding the Fourth Proportional to 4,129.78, 6,184.09 and 2,278.83

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Solution

The fourth proportional to 4,129.78, 6,184.09 and 2,278.83 is: 3,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.78 : 6,184.09 = 2,278.83 : x
  2. Step 2: Convert to fraction form
    4,129.78/6,184.09 = 2,278.83/x
  3. Step 3: Cross multiply
    4,129.78x = 6,184.09 × 2,278.83
  4. Step 4: Simplify right side
    4,129.78x = 14,092,489.81
  5. Step 5: Solve for x
    x = 14,092,489.81/4,129.78
  6. Step 6: Final answer
    x = 3,412.41

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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.