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Finding the Fourth Proportional to 4,334.78, 5,982.00 and 2,345.34

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Solution

The fourth proportional to 4,334.78, 5,982.00 and 2,345.34 is: 3,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.78 : 5,982.00 = 2,345.34 : x
  2. Step 2: Convert to fraction form
    4,334.78/5,982.00 = 2,345.34/x
  3. Step 3: Cross multiply
    4,334.78x = 5,982.00 × 2,345.34
  4. Step 4: Simplify right side
    4,334.78x = 14,029,798.04
  5. Step 5: Solve for x
    x = 14,029,798.04/4,334.78
  6. Step 6: Final answer
    x = 3,236.56

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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.