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Finding the Fourth Proportional to 5,704.89, 7,872.87 and 3,580.51

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Solution

The fourth proportional to 5,704.89, 7,872.87 and 3,580.51 is: 4,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.89 : 7,872.87 = 3,580.51 : x
  2. Step 2: Convert to fraction form
    5,704.89/7,872.87 = 3,580.51/x
  3. Step 3: Cross multiply
    5,704.89x = 7,872.87 × 3,580.51
  4. Step 4: Simplify right side
    5,704.89x = 28,188,889.76
  5. Step 5: Solve for x
    x = 28,188,889.76/5,704.89
  6. Step 6: Final answer
    x = 4,941.18

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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.