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Finding the Fourth Proportional to 3,642.33, 5,466.74 and 1,695.63

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Solution

The fourth proportional to 3,642.33, 5,466.74 and 1,695.63 is: 2,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.33 : 5,466.74 = 1,695.63 : x
  2. Step 2: Convert to fraction form
    3,642.33/5,466.74 = 1,695.63/x
  3. Step 3: Cross multiply
    3,642.33x = 5,466.74 × 1,695.63
  4. Step 4: Simplify right side
    3,642.33x = 9,269,559.87
  5. Step 5: Solve for x
    x = 9,269,559.87/3,642.33
  6. Step 6: Final answer
    x = 2,544.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.