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Finding the Fourth Proportional to 4,114.77, 6,164.96 and 3,425.87

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Solution

The fourth proportional to 4,114.77, 6,164.96 and 3,425.87 is: 5,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.77 : 6,164.96 = 3,425.87 : x
  2. Step 2: Convert to fraction form
    4,114.77/6,164.96 = 3,425.87/x
  3. Step 3: Cross multiply
    4,114.77x = 6,164.96 × 3,425.87
  4. Step 4: Simplify right side
    4,114.77x = 21,120,303.56
  5. Step 5: Solve for x
    x = 21,120,303.56/4,114.77
  6. Step 6: Final answer
    x = 5,132.80

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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.