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Finding the Fourth Proportional to 3,678.60, 5,520.60 and 2,293.96

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Solution

The fourth proportional to 3,678.60, 5,520.60 and 2,293.96 is: 3,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.60 : 5,520.60 = 2,293.96 : x
  2. Step 2: Convert to fraction form
    3,678.60/5,520.60 = 2,293.96/x
  3. Step 3: Cross multiply
    3,678.60x = 5,520.60 × 2,293.96
  4. Step 4: Simplify right side
    3,678.60x = 12,664,035.58
  5. Step 5: Solve for x
    x = 12,664,035.58/3,678.60
  6. Step 6: Final answer
    x = 3,442.62

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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.