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Finding the Fourth Proportional to 5,724, 7,893.72 and 3,736.08

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Solution

The fourth proportional to 5,724, 7,893.72 and 3,736.08 is: 5,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724 : 7,893.72 = 3,736.08 : x
  2. Step 2: Convert to fraction form
    5,724/7,893.72 = 3,736.08/x
  3. Step 3: Cross multiply
    5,724x = 7,893.72 × 3,736.08
  4. Step 4: Simplify right side
    5,724x = 29,491,569.42
  5. Step 5: Solve for x
    x = 29,491,569.42/5,724
  6. Step 6: Final answer
    x = 5,152.27

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Why These Related Problems?

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