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Finding the Fourth Proportional to 3,646.89, 5,471.06 and 1,338.57

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Solution

The fourth proportional to 3,646.89, 5,471.06 and 1,338.57 is: 2,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.89 : 5,471.06 = 1,338.57 : x
  2. Step 2: Convert to fraction form
    3,646.89/5,471.06 = 1,338.57/x
  3. Step 3: Cross multiply
    3,646.89x = 5,471.06 × 1,338.57
  4. Step 4: Simplify right side
    3,646.89x = 7,323,390.09
  5. Step 5: Solve for x
    x = 7,323,390.09/3,646.89
  6. Step 6: Final answer
    x = 2,008.12

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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.