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Finding the Fourth Proportional to 4,975.17, 7,462.78 and 1,512.42

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Solution

The fourth proportional to 4,975.17, 7,462.78 and 1,512.42 is: 2,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.17 : 7,462.78 = 1,512.42 : x
  2. Step 2: Convert to fraction form
    4,975.17/7,462.78 = 1,512.42/x
  3. Step 3: Cross multiply
    4,975.17x = 7,462.78 × 1,512.42
  4. Step 4: Simplify right side
    4,975.17x = 11,286,876.45
  5. Step 5: Solve for x
    x = 11,286,876.45/4,975.17
  6. Step 6: Final answer
    x = 2,268.64

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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.