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Finding the Fourth Proportional to 3,646.71, 5,466.13 and 1,768.62

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Solution

The fourth proportional to 3,646.71, 5,466.13 and 1,768.62 is: 2,651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.71 : 5,466.13 = 1,768.62 : x
  2. Step 2: Convert to fraction form
    3,646.71/5,466.13 = 1,768.62/x
  3. Step 3: Cross multiply
    3,646.71x = 5,466.13 × 1,768.62
  4. Step 4: Simplify right side
    3,646.71x = 9,667,525.18
  5. Step 5: Solve for x
    x = 9,667,525.18/3,646.71
  6. Step 6: Final answer
    x = 2,651.03

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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.