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Finding the Fourth Proportional to 4,223.62, 5,828.50 and 2,335.12

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Solution

The fourth proportional to 4,223.62, 5,828.50 and 2,335.12 is: 3,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.62 : 5,828.50 = 2,335.12 : x
  2. Step 2: Convert to fraction form
    4,223.62/5,828.50 = 2,335.12/x
  3. Step 3: Cross multiply
    4,223.62x = 5,828.50 × 2,335.12
  4. Step 4: Simplify right side
    4,223.62x = 13,610,246.92
  5. Step 5: Solve for x
    x = 13,610,246.92/4,223.62
  6. Step 6: Final answer
    x = 3,222.41

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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.