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Finding the Fourth Proportional to 3,630.54, 5,442.12 and 1,438.08

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Solution

The fourth proportional to 3,630.54, 5,442.12 and 1,438.08 is: 2,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.54 : 5,442.12 = 1,438.08 : x
  2. Step 2: Convert to fraction form
    3,630.54/5,442.12 = 1,438.08/x
  3. Step 3: Cross multiply
    3,630.54x = 5,442.12 × 1,438.08
  4. Step 4: Simplify right side
    3,630.54x = 7,826,203.93
  5. Step 5: Solve for x
    x = 7,826,203.93/3,630.54
  6. Step 6: Final answer
    x = 2,155.66

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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.