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Finding the Fourth Proportional to 4,227.06, 5,833.35 and 2,364.06

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Solution

The fourth proportional to 4,227.06, 5,833.35 and 2,364.06 is: 3,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.06 : 5,833.35 = 2,364.06 : x
  2. Step 2: Convert to fraction form
    4,227.06/5,833.35 = 2,364.06/x
  3. Step 3: Cross multiply
    4,227.06x = 5,833.35 × 2,364.06
  4. Step 4: Simplify right side
    4,227.06x = 13,790,389.40
  5. Step 5: Solve for x
    x = 13,790,389.40/4,227.06
  6. Step 6: Final answer
    x = 3,262.41

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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.