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Finding the Fourth Proportional to 3,831.22, 5,718.83 and 3,549.52

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Solution

The fourth proportional to 3,831.22, 5,718.83 and 3,549.52 is: 5,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.22 : 5,718.83 = 3,549.52 : x
  2. Step 2: Convert to fraction form
    3,831.22/5,718.83 = 3,549.52/x
  3. Step 3: Cross multiply
    3,831.22x = 5,718.83 × 3,549.52
  4. Step 4: Simplify right side
    3,831.22x = 20,299,101.46
  5. Step 5: Solve for x
    x = 20,299,101.46/3,831.22
  6. Step 6: Final answer
    x = 5,298.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.