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Finding the Fourth Proportional to 3,784.05, 5,672.03 and 1,703.70

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Solution

The fourth proportional to 3,784.05, 5,672.03 and 1,703.70 is: 2,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.05 : 5,672.03 = 1,703.70 : x
  2. Step 2: Convert to fraction form
    3,784.05/5,672.03 = 1,703.70/x
  3. Step 3: Cross multiply
    3,784.05x = 5,672.03 × 1,703.70
  4. Step 4: Simplify right side
    3,784.05x = 9,663,428.99
  5. Step 5: Solve for x
    x = 9,663,428.99/3,784.05
  6. Step 6: Final answer
    x = 2,553.73

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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.