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Finding the Fourth Proportional to 3,463.59, 5,188.62 and 2,078.10

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Solution

The fourth proportional to 3,463.59, 5,188.62 and 2,078.10 is: 3,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.59 : 5,188.62 = 2,078.10 : x
  2. Step 2: Convert to fraction form
    3,463.59/5,188.62 = 2,078.10/x
  3. Step 3: Cross multiply
    3,463.59x = 5,188.62 × 2,078.10
  4. Step 4: Simplify right side
    3,463.59x = 10,782,471.22
  5. Step 5: Solve for x
    x = 10,782,471.22/3,463.59
  6. Step 6: Final answer
    x = 3,113.09

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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.