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Finding the Fourth Proportional to 4,336.74, 5,984.73 and 2,347.31

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Solution

The fourth proportional to 4,336.74, 5,984.73 and 2,347.31 is: 3,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.74 : 5,984.73 = 2,347.31 : x
  2. Step 2: Convert to fraction form
    4,336.74/5,984.73 = 2,347.31/x
  3. Step 3: Cross multiply
    4,336.74x = 5,984.73 × 2,347.31
  4. Step 4: Simplify right side
    4,336.74x = 14,048,031.54
  5. Step 5: Solve for x
    x = 14,048,031.54/4,336.74
  6. Step 6: Final answer
    x = 3,239.31

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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.