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Finding the Fourth Proportional to 3,485.73, 5,228.87 and 1,537.59

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Solution

The fourth proportional to 3,485.73, 5,228.87 and 1,537.59 is: 2,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.73 : 5,228.87 = 1,537.59 : x
  2. Step 2: Convert to fraction form
    3,485.73/5,228.87 = 1,537.59/x
  3. Step 3: Cross multiply
    3,485.73x = 5,228.87 × 1,537.59
  4. Step 4: Simplify right side
    3,485.73x = 8,039,850.54
  5. Step 5: Solve for x
    x = 8,039,850.54/3,485.73
  6. Step 6: Final answer
    x = 2,306.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.