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Finding the Fourth Proportional to 5,725.72, 7,899.34 and 3,366.20

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Solution

The fourth proportional to 5,725.72, 7,899.34 and 3,366.20 is: 4,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.72 : 7,899.34 = 3,366.20 : x
  2. Step 2: Convert to fraction form
    5,725.72/7,899.34 = 3,366.20/x
  3. Step 3: Cross multiply
    5,725.72x = 7,899.34 × 3,366.20
  4. Step 4: Simplify right side
    5,725.72x = 26,590,758.31
  5. Step 5: Solve for x
    x = 26,590,758.31/5,725.72
  6. Step 6: Final answer
    x = 4,644.09

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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.