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Finding the Fourth Proportional to 5,774.94, 7,975.26 and 4,976.64

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Solution

The fourth proportional to 5,774.94, 7,975.26 and 4,976.64 is: 6,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.94 : 7,975.26 = 4,976.64 : x
  2. Step 2: Convert to fraction form
    5,774.94/7,975.26 = 4,976.64/x
  3. Step 3: Cross multiply
    5,774.94x = 7,975.26 × 4,976.64
  4. Step 4: Simplify right side
    5,774.94x = 39,689,997.93
  5. Step 5: Solve for x
    x = 39,689,997.93/5,774.94
  6. Step 6: Final answer
    x = 6,872.80

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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.