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Finding the Fourth Proportional to 3,646.94, 5,435.76 and 3,439.37

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Solution

The fourth proportional to 3,646.94, 5,435.76 and 3,439.37 is: 5,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.94 : 5,435.76 = 3,439.37 : x
  2. Step 2: Convert to fraction form
    3,646.94/5,435.76 = 3,439.37/x
  3. Step 3: Cross multiply
    3,646.94x = 5,435.76 × 3,439.37
  4. Step 4: Simplify right side
    3,646.94x = 18,695,562.69
  5. Step 5: Solve for x
    x = 18,695,562.69/3,646.94
  6. Step 6: Final answer
    x = 5,126.38

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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.