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Finding the Fourth Proportional to 5,056.44, 6,976.44 and 3,290.64

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Solution

The fourth proportional to 5,056.44, 6,976.44 and 3,290.64 is: 4,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.44 : 6,976.44 = 3,290.64 : x
  2. Step 2: Convert to fraction form
    5,056.44/6,976.44 = 3,290.64/x
  3. Step 3: Cross multiply
    5,056.44x = 6,976.44 × 3,290.64
  4. Step 4: Simplify right side
    5,056.44x = 22,956,952.52
  5. Step 5: Solve for x
    x = 22,956,952.52/5,056.44
  6. Step 6: Final answer
    x = 4,540.14

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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.