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Finding the Fourth Proportional to 3,825.79, 5,725 and 2,998.38

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Solution

The fourth proportional to 3,825.79, 5,725 and 2,998.38 is: 4,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.79 : 5,725 = 2,998.38 : x
  2. Step 2: Convert to fraction form
    3,825.79/5,725 = 2,998.38/x
  3. Step 3: Cross multiply
    3,825.79x = 5,725 × 2,998.38
  4. Step 4: Simplify right side
    3,825.79x = 17,165,725.50
  5. Step 5: Solve for x
    x = 17,165,725.50/3,825.79
  6. Step 6: Final answer
    x = 4,486.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.