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Finding the Fourth Proportional to 3,627.99, 5,442.29 and 1,289.27

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Solution

The fourth proportional to 3,627.99, 5,442.29 and 1,289.27 is: 1,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.99 : 5,442.29 = 1,289.27 : x
  2. Step 2: Convert to fraction form
    3,627.99/5,442.29 = 1,289.27/x
  3. Step 3: Cross multiply
    3,627.99x = 5,442.29 × 1,289.27
  4. Step 4: Simplify right side
    3,627.99x = 7,016,562.61
  5. Step 5: Solve for x
    x = 7,016,562.61/3,627.99
  6. Step 6: Final answer
    x = 1,934.01

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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.