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Finding the Fourth Proportional to 5,962, 8,939.72 and 2,678.32

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Solution

The fourth proportional to 5,962, 8,939.72 and 2,678.32 is: 4,016.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962 : 8,939.72 = 2,678.32 : x
  2. Step 2: Convert to fraction form
    5,962/8,939.72 = 2,678.32/x
  3. Step 3: Cross multiply
    5,962x = 8,939.72 × 2,678.32
  4. Step 4: Simplify right side
    5,962x = 23,943,430.87
  5. Step 5: Solve for x
    x = 23,943,430.87/5,962
  6. Step 6: Final answer
    x = 4,016.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.