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Finding the Fourth Proportional to 4,208, 5,807.22 and 2,345

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Solution

The fourth proportional to 4,208, 5,807.22 and 2,345 is: 3,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208 : 5,807.22 = 2,345 : x
  2. Step 2: Convert to fraction form
    4,208/5,807.22 = 2,345/x
  3. Step 3: Cross multiply
    4,208x = 5,807.22 × 2,345
  4. Step 4: Simplify right side
    4,208x = 13,617,930.90
  5. Step 5: Solve for x
    x = 13,617,930.90/4,208
  6. Step 6: Final answer
    x = 3,236.20

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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.