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Finding the Fourth Proportional to 3,831.98, 5,284.86 and 3,237.39

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Solution

The fourth proportional to 3,831.98, 5,284.86 and 3,237.39 is: 4,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.98 : 5,284.86 = 3,237.39 : x
  2. Step 2: Convert to fraction form
    3,831.98/5,284.86 = 3,237.39/x
  3. Step 3: Cross multiply
    3,831.98x = 5,284.86 × 3,237.39
  4. Step 4: Simplify right side
    3,831.98x = 17,109,152.92
  5. Step 5: Solve for x
    x = 17,109,152.92/3,831.98
  6. Step 6: Final answer
    x = 4,464.84

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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.