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Finding the Fourth Proportional to 3,020.64, 4,558.16 and 2,912.16

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Solution

The fourth proportional to 3,020.64, 4,558.16 and 2,912.16 is: 4,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.64 : 4,558.16 = 2,912.16 : x
  2. Step 2: Convert to fraction form
    3,020.64/4,558.16 = 2,912.16/x
  3. Step 3: Cross multiply
    3,020.64x = 4,558.16 × 2,912.16
  4. Step 4: Simplify right side
    3,020.64x = 13,274,091.23
  5. Step 5: Solve for x
    x = 13,274,091.23/3,020.64
  6. Step 6: Final answer
    x = 4,394.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.