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Finding the Fourth Proportional to 3,578.22, 4,935.67 and 2,584.95

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Solution

The fourth proportional to 3,578.22, 4,935.67 and 2,584.95 is: 3,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.22 : 4,935.67 = 2,584.95 : x
  2. Step 2: Convert to fraction form
    3,578.22/4,935.67 = 2,584.95/x
  3. Step 3: Cross multiply
    3,578.22x = 4,935.67 × 2,584.95
  4. Step 4: Simplify right side
    3,578.22x = 12,758,460.17
  5. Step 5: Solve for x
    x = 12,758,460.17/3,578.22
  6. Step 6: Final answer
    x = 3,565.59

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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.