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Finding the Fourth Proportional to 3,221.04, 4,831.11 and 1,029.49

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Solution

The fourth proportional to 3,221.04, 4,831.11 and 1,029.49 is: 1,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.04 : 4,831.11 = 1,029.49 : x
  2. Step 2: Convert to fraction form
    3,221.04/4,831.11 = 1,029.49/x
  3. Step 3: Cross multiply
    3,221.04x = 4,831.11 × 1,029.49
  4. Step 4: Simplify right side
    3,221.04x = 4,973,579.43
  5. Step 5: Solve for x
    x = 4,973,579.43/3,221.04
  6. Step 6: Final answer
    x = 1,544.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.