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Finding the Fourth Proportional to 4,236.36, 5,845.70 and 2,347.47

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Solution

The fourth proportional to 4,236.36, 5,845.70 and 2,347.47 is: 3,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.36 : 5,845.70 = 2,347.47 : x
  2. Step 2: Convert to fraction form
    4,236.36/5,845.70 = 2,347.47/x
  3. Step 3: Cross multiply
    4,236.36x = 5,845.70 × 2,347.47
  4. Step 4: Simplify right side
    4,236.36x = 13,722,605.38
  5. Step 5: Solve for x
    x = 13,722,605.38/4,236.36
  6. Step 6: Final answer
    x = 3,239.24

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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.