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Finding the Fourth Proportional to 4,572.74, 6,310.77 and 3,825.38

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Solution

The fourth proportional to 4,572.74, 6,310.77 and 3,825.38 is: 5,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.74 : 6,310.77 = 3,825.38 : x
  2. Step 2: Convert to fraction form
    4,572.74/6,310.77 = 3,825.38/x
  3. Step 3: Cross multiply
    4,572.74x = 6,310.77 × 3,825.38
  4. Step 4: Simplify right side
    4,572.74x = 24,141,093.34
  5. Step 5: Solve for x
    x = 24,141,093.34/4,572.74
  6. Step 6: Final answer
    x = 5,279.35

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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.