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Finding the Fourth Proportional to 5,157.88, 7,724.39 and 3,303.25

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Solution

The fourth proportional to 5,157.88, 7,724.39 and 3,303.25 is: 4,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.88 : 7,724.39 = 3,303.25 : x
  2. Step 2: Convert to fraction form
    5,157.88/7,724.39 = 3,303.25/x
  3. Step 3: Cross multiply
    5,157.88x = 7,724.39 × 3,303.25
  4. Step 4: Simplify right side
    5,157.88x = 25,515,552.65
  5. Step 5: Solve for x
    x = 25,515,552.65/5,157.88
  6. Step 6: Final answer
    x = 4,946.91

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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.