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Finding the Fourth Proportional to 3,646.92, 5,441.93 and 3,254.22

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Solution

The fourth proportional to 3,646.92, 5,441.93 and 3,254.22 is: 4,855.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.92 : 5,441.93 = 3,254.22 : x
  2. Step 2: Convert to fraction form
    3,646.92/5,441.93 = 3,254.22/x
  3. Step 3: Cross multiply
    3,646.92x = 5,441.93 × 3,254.22
  4. Step 4: Simplify right side
    3,646.92x = 17,709,221.17
  5. Step 5: Solve for x
    x = 17,709,221.17/3,646.92
  6. Step 6: Final answer
    x = 4,855.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.