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Finding the Fourth Proportional to 3,831.90, 5,288.16 and 2,153.27

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Solution

The fourth proportional to 3,831.90, 5,288.16 and 2,153.27 is: 2,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.90 : 5,288.16 = 2,153.27 : x
  2. Step 2: Convert to fraction form
    3,831.90/5,288.16 = 2,153.27/x
  3. Step 3: Cross multiply
    3,831.90x = 5,288.16 × 2,153.27
  4. Step 4: Simplify right side
    3,831.90x = 11,386,857.58
  5. Step 5: Solve for x
    x = 11,386,857.58/3,831.90
  6. Step 6: Final answer
    x = 2,971.60

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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.