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Finding the Fourth Proportional to 3,831.57, 5,284.53 and 2,485.71

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Solution

The fourth proportional to 3,831.57, 5,284.53 and 2,485.71 is: 3,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.57 : 5,284.53 = 2,485.71 : x
  2. Step 2: Convert to fraction form
    3,831.57/5,284.53 = 2,485.71/x
  3. Step 3: Cross multiply
    3,831.57x = 5,284.53 × 2,485.71
  4. Step 4: Simplify right side
    3,831.57x = 13,135,809.07
  5. Step 5: Solve for x
    x = 13,135,809.07/3,831.57
  6. Step 6: Final answer
    x = 3,428.31

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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.