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Finding the Fourth Proportional to 4,578.75, 6,322.95 and 3,682.62

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Solution

The fourth proportional to 4,578.75, 6,322.95 and 3,682.62 is: 5,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.75 : 6,322.95 = 3,682.62 : x
  2. Step 2: Convert to fraction form
    4,578.75/6,322.95 = 3,682.62/x
  3. Step 3: Cross multiply
    4,578.75x = 6,322.95 × 3,682.62
  4. Step 4: Simplify right side
    4,578.75x = 23,285,022.13
  5. Step 5: Solve for x
    x = 23,285,022.13/4,578.75
  6. Step 6: Final answer
    x = 5,085.45

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