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Finding the Fourth Proportional to 3,831.95, 5,288.20 and 2,153.51

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Solution

The fourth proportional to 3,831.95, 5,288.20 and 2,153.51 is: 2,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.95 : 5,288.20 = 2,153.51 : x
  2. Step 2: Convert to fraction form
    3,831.95/5,288.20 = 2,153.51/x
  3. Step 3: Cross multiply
    3,831.95x = 5,288.20 × 2,153.51
  4. Step 4: Simplify right side
    3,831.95x = 11,388,197.49
  5. Step 5: Solve for x
    x = 11,388,197.49/3,831.95
  6. Step 6: Final answer
    x = 2,971.91

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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.