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Finding the Fourth Proportional to 4,224.84, 5,830.32 and 2,336.48

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Solution

The fourth proportional to 4,224.84, 5,830.32 and 2,336.48 is: 3,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.84 : 5,830.32 = 2,336.48 : x
  2. Step 2: Convert to fraction form
    4,224.84/5,830.32 = 2,336.48/x
  3. Step 3: Cross multiply
    4,224.84x = 5,830.32 × 2,336.48
  4. Step 4: Simplify right side
    4,224.84x = 13,622,426.07
  5. Step 5: Solve for x
    x = 13,622,426.07/4,224.84
  6. Step 6: Final answer
    x = 3,224.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.