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Finding the Fourth Proportional to 5,235.78, 7,225.38 and 2,845.71

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Solution

The fourth proportional to 5,235.78, 7,225.38 and 2,845.71 is: 3,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.78 : 7,225.38 = 2,845.71 : x
  2. Step 2: Convert to fraction form
    5,235.78/7,225.38 = 2,845.71/x
  3. Step 3: Cross multiply
    5,235.78x = 7,225.38 × 2,845.71
  4. Step 4: Simplify right side
    5,235.78x = 20,561,336.12
  5. Step 5: Solve for x
    x = 20,561,336.12/5,235.78
  6. Step 6: Final answer
    x = 3,927.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.