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Finding the Fourth Proportional to 3,833.76, 5,292.72 and 2,436

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Solution

The fourth proportional to 3,833.76, 5,292.72 and 2,436 is: 3,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.76 : 5,292.72 = 2,436 : x
  2. Step 2: Convert to fraction form
    3,833.76/5,292.72 = 2,436/x
  3. Step 3: Cross multiply
    3,833.76x = 5,292.72 × 2,436
  4. Step 4: Simplify right side
    3,833.76x = 12,893,065.92
  5. Step 5: Solve for x
    x = 12,893,065.92/3,833.76
  6. Step 6: Final answer
    x = 3,363.03

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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.