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Finding the Fourth Proportional to 5,300.72, 7,967.04 and 4,382.16

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Solution

The fourth proportional to 5,300.72, 7,967.04 and 4,382.16 is: 6,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.72 : 7,967.04 = 4,382.16 : x
  2. Step 2: Convert to fraction form
    5,300.72/7,967.04 = 4,382.16/x
  3. Step 3: Cross multiply
    5,300.72x = 7,967.04 × 4,382.16
  4. Step 4: Simplify right side
    5,300.72x = 34,912,844.01
  5. Step 5: Solve for x
    x = 34,912,844.01/5,300.72
  6. Step 6: Final answer
    x = 6,586.43

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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.