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Finding the Fourth Proportional to 4,331.93, 5,978.06 and 2,342.49

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Solution

The fourth proportional to 4,331.93, 5,978.06 and 2,342.49 is: 3,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.93 : 5,978.06 = 2,342.49 : x
  2. Step 2: Convert to fraction form
    4,331.93/5,978.06 = 2,342.49/x
  3. Step 3: Cross multiply
    4,331.93x = 5,978.06 × 2,342.49
  4. Step 4: Simplify right side
    4,331.93x = 14,003,533.60
  5. Step 5: Solve for x
    x = 14,003,533.60/4,331.93
  6. Step 6: Final answer
    x = 3,232.64

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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.