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Finding the Fourth Proportional to 4,224.90, 5,830.03 and 2,336.49

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Solution

The fourth proportional to 4,224.90, 5,830.03 and 2,336.49 is: 3,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.90 : 5,830.03 = 2,336.49 : x
  2. Step 2: Convert to fraction form
    4,224.90/5,830.03 = 2,336.49/x
  3. Step 3: Cross multiply
    4,224.90x = 5,830.03 × 2,336.49
  4. Step 4: Simplify right side
    4,224.90x = 13,621,806.79
  5. Step 5: Solve for x
    x = 13,621,806.79/4,224.90
  6. Step 6: Final answer
    x = 3,224.17

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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.