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Finding the Fourth Proportional to 5,630.72, 7,754.16 and 4,516.16

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Solution

The fourth proportional to 5,630.72, 7,754.16 and 4,516.16 is: 6,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.72 : 7,754.16 = 4,516.16 : x
  2. Step 2: Convert to fraction form
    5,630.72/7,754.16 = 4,516.16/x
  3. Step 3: Cross multiply
    5,630.72x = 7,754.16 × 4,516.16
  4. Step 4: Simplify right side
    5,630.72x = 35,019,027.23
  5. Step 5: Solve for x
    x = 35,019,027.23/5,630.72
  6. Step 6: Final answer
    x = 6,219.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.