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Finding the Fourth Proportional to 4,331.98, 5,978.14 and 2,342.54

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Solution

The fourth proportional to 4,331.98, 5,978.14 and 2,342.54 is: 3,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.98 : 5,978.14 = 2,342.54 : x
  2. Step 2: Convert to fraction form
    4,331.98/5,978.14 = 2,342.54/x
  3. Step 3: Cross multiply
    4,331.98x = 5,978.14 × 2,342.54
  4. Step 4: Simplify right side
    4,331.98x = 14,004,002.18
  5. Step 5: Solve for x
    x = 14,004,002.18/4,331.98
  6. Step 6: Final answer
    x = 3,232.70

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1.5x scale

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.