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Finding the Fourth Proportional to 3,534.57, 5,302.73 and 2,496.60

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Solution

The fourth proportional to 3,534.57, 5,302.73 and 2,496.60 is: 3,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.57 : 5,302.73 = 2,496.60 : x
  2. Step 2: Convert to fraction form
    3,534.57/5,302.73 = 2,496.60/x
  3. Step 3: Cross multiply
    3,534.57x = 5,302.73 × 2,496.60
  4. Step 4: Simplify right side
    3,534.57x = 13,238,801.96
  5. Step 5: Solve for x
    x = 13,238,801.96/3,534.57
  6. Step 6: Final answer
    x = 3,745.52

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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.