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Finding the Fourth Proportional to 3,485.73, 5,228.40 and 2,549.64

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Solution

The fourth proportional to 3,485.73, 5,228.40 and 2,549.64 is: 3,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.73 : 5,228.40 = 2,549.64 : x
  2. Step 2: Convert to fraction form
    3,485.73/5,228.40 = 2,549.64/x
  3. Step 3: Cross multiply
    3,485.73x = 5,228.40 × 2,549.64
  4. Step 4: Simplify right side
    3,485.73x = 13,330,537.78
  5. Step 5: Solve for x
    x = 13,330,537.78/3,485.73
  6. Step 6: Final answer
    x = 3,824.32

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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.