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Finding the Fourth Proportional to 3,725.73, 5,563.08 and 3,177.63

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Solution

The fourth proportional to 3,725.73, 5,563.08 and 3,177.63 is: 4,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.73 : 5,563.08 = 3,177.63 : x
  2. Step 2: Convert to fraction form
    3,725.73/5,563.08 = 3,177.63/x
  3. Step 3: Cross multiply
    3,725.73x = 5,563.08 × 3,177.63
  4. Step 4: Simplify right side
    3,725.73x = 17,677,409.90
  5. Step 5: Solve for x
    x = 17,677,409.90/3,725.73
  6. Step 6: Final answer
    x = 4,744.68

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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.