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Finding the Fourth Proportional to 4,553.40, 6,831.12 and 1,919.40

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Solution

The fourth proportional to 4,553.40, 6,831.12 and 1,919.40 is: 2,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.40 : 6,831.12 = 1,919.40 : x
  2. Step 2: Convert to fraction form
    4,553.40/6,831.12 = 1,919.40/x
  3. Step 3: Cross multiply
    4,553.40x = 6,831.12 × 1,919.40
  4. Step 4: Simplify right side
    4,553.40x = 13,111,651.73
  5. Step 5: Solve for x
    x = 13,111,651.73/4,553.40
  6. Step 6: Final answer
    x = 2,879.53

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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.