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Finding the Fourth Proportional to 6,056.72, 9,085.56 and 2,978

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Solution

The fourth proportional to 6,056.72, 9,085.56 and 2,978 is: 4,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.72 : 9,085.56 = 2,978 : x
  2. Step 2: Convert to fraction form
    6,056.72/9,085.56 = 2,978/x
  3. Step 3: Cross multiply
    6,056.72x = 9,085.56 × 2,978
  4. Step 4: Simplify right side
    6,056.72x = 27,056,797.68
  5. Step 5: Solve for x
    x = 27,056,797.68/6,056.72
  6. Step 6: Final answer
    x = 4,467.24

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Why These Related Problems?

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