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Finding the Fourth Proportional to 5,282.96, 7,921.60 and 5,055.75

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Solution

The fourth proportional to 5,282.96, 7,921.60 and 5,055.75 is: 7,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.96 : 7,921.60 = 5,055.75 : x
  2. Step 2: Convert to fraction form
    5,282.96/7,921.60 = 5,055.75/x
  3. Step 3: Cross multiply
    5,282.96x = 7,921.60 × 5,055.75
  4. Step 4: Simplify right side
    5,282.96x = 40,049,616.56
  5. Step 5: Solve for x
    x = 40,049,616.56/5,282.96
  6. Step 6: Final answer
    x = 7,580.91

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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.