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Finding the Fourth Proportional to 4,509.71, 6,219.37 and 2,831.28

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Solution

The fourth proportional to 4,509.71, 6,219.37 and 2,831.28 is: 3,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.71 : 6,219.37 = 2,831.28 : x
  2. Step 2: Convert to fraction form
    4,509.71/6,219.37 = 2,831.28/x
  3. Step 3: Cross multiply
    4,509.71x = 6,219.37 × 2,831.28
  4. Step 4: Simplify right side
    4,509.71x = 17,608,763.42
  5. Step 5: Solve for x
    x = 17,608,763.42/4,509.71
  6. Step 6: Final answer
    x = 3,904.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.