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Finding the Fourth Proportional to 5,963.12, 8,944.26 and 1,580.48

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Solution

The fourth proportional to 5,963.12, 8,944.26 and 1,580.48 is: 2,370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.12 : 8,944.26 = 1,580.48 : x
  2. Step 2: Convert to fraction form
    5,963.12/8,944.26 = 1,580.48/x
  3. Step 3: Cross multiply
    5,963.12x = 8,944.26 × 1,580.48
  4. Step 4: Simplify right side
    5,963.12x = 14,136,224.04
  5. Step 5: Solve for x
    x = 14,136,224.04/5,963.12
  6. Step 6: Final answer
    x = 2,370.61

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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.