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Finding the Fourth Proportional to 5,053.72, 7,579.14 and 1,975

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Solution

The fourth proportional to 5,053.72, 7,579.14 and 1,975 is: 2,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.72 : 7,579.14 = 1,975 : x
  2. Step 2: Convert to fraction form
    5,053.72/7,579.14 = 1,975/x
  3. Step 3: Cross multiply
    5,053.72x = 7,579.14 × 1,975
  4. Step 4: Simplify right side
    5,053.72x = 14,968,801.50
  5. Step 5: Solve for x
    x = 14,968,801.50/5,053.72
  6. Step 6: Final answer
    x = 2,961.94

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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.