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Finding the Fourth Proportional to 2,575.39, 3,840.47 and 2,552

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Solution

The fourth proportional to 2,575.39, 3,840.47 and 2,552 is: 3,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.39 : 3,840.47 = 2,552 : x
  2. Step 2: Convert to fraction form
    2,575.39/3,840.47 = 2,552/x
  3. Step 3: Cross multiply
    2,575.39x = 3,840.47 × 2,552
  4. Step 4: Simplify right side
    2,575.39x = 9,800,879.44
  5. Step 5: Solve for x
    x = 9,800,879.44/2,575.39
  6. Step 6: Final answer
    x = 3,805.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.