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Finding the Fourth Proportional to 3,725.46, 5,589.41 and 1,777.41

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Solution

The fourth proportional to 3,725.46, 5,589.41 and 1,777.41 is: 2,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.46 : 5,589.41 = 1,777.41 : x
  2. Step 2: Convert to fraction form
    3,725.46/5,589.41 = 1,777.41/x
  3. Step 3: Cross multiply
    3,725.46x = 5,589.41 × 1,777.41
  4. Step 4: Simplify right side
    3,725.46x = 9,934,673.23
  5. Step 5: Solve for x
    x = 9,934,673.23/3,725.46
  6. Step 6: Final answer
    x = 2,666.70

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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.