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Finding the Fourth Proportional to 4,224.66, 5,830.08 and 2,336.39

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Solution

The fourth proportional to 4,224.66, 5,830.08 and 2,336.39 is: 3,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.66 : 5,830.08 = 2,336.39 : x
  2. Step 2: Convert to fraction form
    4,224.66/5,830.08 = 2,336.39/x
  3. Step 3: Cross multiply
    4,224.66x = 5,830.08 × 2,336.39
  4. Step 4: Simplify right side
    4,224.66x = 13,621,357.36
  5. Step 5: Solve for x
    x = 13,621,357.36/4,224.66
  6. Step 6: Final answer
    x = 3,224.25

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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.