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Finding the Fourth Proportional to 3,218.16, 4,825.68 and 1,919.28

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Solution

The fourth proportional to 3,218.16, 4,825.68 and 1,919.28 is: 2,877.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.16 : 4,825.68 = 1,919.28 : x
  2. Step 2: Convert to fraction form
    3,218.16/4,825.68 = 1,919.28/x
  3. Step 3: Cross multiply
    3,218.16x = 4,825.68 × 1,919.28
  4. Step 4: Simplify right side
    3,218.16x = 9,261,831.11
  5. Step 5: Solve for x
    x = 9,261,831.11/3,218.16
  6. Step 6: Final answer
    x = 2,877.99

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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.