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Finding the Fourth Proportional to 5,364.21, 7,406.06 and 4,371.86

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Solution

The fourth proportional to 5,364.21, 7,406.06 and 4,371.86 is: 6,035.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.21 : 7,406.06 = 4,371.86 : x
  2. Step 2: Convert to fraction form
    5,364.21/7,406.06 = 4,371.86/x
  3. Step 3: Cross multiply
    5,364.21x = 7,406.06 × 4,371.86
  4. Step 4: Simplify right side
    5,364.21x = 32,378,198.58
  5. Step 5: Solve for x
    x = 32,378,198.58/5,364.21
  6. Step 6: Final answer
    x = 6,035.97

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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.