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Finding the Fourth Proportional to 4,148.79, 5,725.33 and 2,285.79

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Solution

The fourth proportional to 4,148.79, 5,725.33 and 2,285.79 is: 3,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.79 : 5,725.33 = 2,285.79 : x
  2. Step 2: Convert to fraction form
    4,148.79/5,725.33 = 2,285.79/x
  3. Step 3: Cross multiply
    4,148.79x = 5,725.33 × 2,285.79
  4. Step 4: Simplify right side
    4,148.79x = 13,086,874.88
  5. Step 5: Solve for x
    x = 13,086,874.88/4,148.79
  6. Step 6: Final answer
    x = 3,154.39

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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.