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Finding the Fourth Proportional to 4,143.69, 6,214.73 and 1,221.21

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Solution

The fourth proportional to 4,143.69, 6,214.73 and 1,221.21 is: 1,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.69 : 6,214.73 = 1,221.21 : x
  2. Step 2: Convert to fraction form
    4,143.69/6,214.73 = 1,221.21/x
  3. Step 3: Cross multiply
    4,143.69x = 6,214.73 × 1,221.21
  4. Step 4: Simplify right side
    4,143.69x = 7,589,484.32
  5. Step 5: Solve for x
    x = 7,589,484.32/4,143.69
  6. Step 6: Final answer
    x = 1,831.58

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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.