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Finding the Fourth Proportional to 3,784.32, 5,676.35 and 1,836

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Solution

The fourth proportional to 3,784.32, 5,676.35 and 1,836 is: 2,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.32 : 5,676.35 = 1,836 : x
  2. Step 2: Convert to fraction form
    3,784.32/5,676.35 = 1,836/x
  3. Step 3: Cross multiply
    3,784.32x = 5,676.35 × 1,836
  4. Step 4: Simplify right side
    3,784.32x = 10,421,769.42
  5. Step 5: Solve for x
    x = 10,421,769.42/3,784.32
  6. Step 6: Final answer
    x = 2,753.93

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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.