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Finding the Fourth Proportional to 3,646.43, 5,435.02 and 3,438.87

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Solution

The fourth proportional to 3,646.43, 5,435.02 and 3,438.87 is: 5,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.43 : 5,435.02 = 3,438.87 : x
  2. Step 2: Convert to fraction form
    3,646.43/5,435.02 = 3,438.87/x
  3. Step 3: Cross multiply
    3,646.43x = 5,435.02 × 3,438.87
  4. Step 4: Simplify right side
    3,646.43x = 18,690,327.23
  5. Step 5: Solve for x
    x = 18,690,327.23/3,646.43
  6. Step 6: Final answer
    x = 5,125.65

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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.