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Finding the Fourth Proportional to 3,831.89, 5,714.10 and 3,528.95

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Solution

The fourth proportional to 3,831.89, 5,714.10 and 3,528.95 is: 5,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.89 : 5,714.10 = 3,528.95 : x
  2. Step 2: Convert to fraction form
    3,831.89/5,714.10 = 3,528.95/x
  3. Step 3: Cross multiply
    3,831.89x = 5,714.10 × 3,528.95
  4. Step 4: Simplify right side
    3,831.89x = 20,164,744.62
  5. Step 5: Solve for x
    x = 20,164,744.62/3,831.89
  6. Step 6: Final answer
    x = 5,262.36

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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.