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Finding the Fourth Proportional to 3,831.30, 5,284.04 and 2,257.88

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Solution

The fourth proportional to 3,831.30, 5,284.04 and 2,257.88 is: 3,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.30 : 5,284.04 = 2,257.88 : x
  2. Step 2: Convert to fraction form
    3,831.30/5,284.04 = 2,257.88/x
  3. Step 3: Cross multiply
    3,831.30x = 5,284.04 × 2,257.88
  4. Step 4: Simplify right side
    3,831.30x = 11,930,690.53
  5. Step 5: Solve for x
    x = 11,930,690.53/3,831.30
  6. Step 6: Final answer
    x = 3,114.01

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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.