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Finding the Fourth Proportional to 4,331.96, 5,978.08 and 2,342.50

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Solution

The fourth proportional to 4,331.96, 5,978.08 and 2,342.50 is: 3,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.96 : 5,978.08 = 2,342.50 : x
  2. Step 2: Convert to fraction form
    4,331.96/5,978.08 = 2,342.50/x
  3. Step 3: Cross multiply
    4,331.96x = 5,978.08 × 2,342.50
  4. Step 4: Simplify right side
    4,331.96x = 14,003,652.40
  5. Step 5: Solve for x
    x = 14,003,652.40/4,331.96
  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.