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Finding the Fourth Proportional to 4,334.82, 5,982.05 and 2,345.39

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Solution

The fourth proportional to 4,334.82, 5,982.05 and 2,345.39 is: 3,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.82 : 5,982.05 = 2,345.39 : x
  2. Step 2: Convert to fraction form
    4,334.82/5,982.05 = 2,345.39/x
  3. Step 3: Cross multiply
    4,334.82x = 5,982.05 × 2,345.39
  4. Step 4: Simplify right side
    4,334.82x = 14,030,238.64
  5. Step 5: Solve for x
    x = 14,030,238.64/4,334.82
  6. Step 6: Final answer
    x = 3,236.64

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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.