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Finding the Fourth Proportional to 3,818.29, 5,728.42 and 1,737.30

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Solution

The fourth proportional to 3,818.29, 5,728.42 and 1,737.30 is: 2,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.29 : 5,728.42 = 1,737.30 : x
  2. Step 2: Convert to fraction form
    3,818.29/5,728.42 = 1,737.30/x
  3. Step 3: Cross multiply
    3,818.29x = 5,728.42 × 1,737.30
  4. Step 4: Simplify right side
    3,818.29x = 9,951,975.50
  5. Step 5: Solve for x
    x = 9,951,975.50/3,818.29
  6. Step 6: Final answer
    x = 2,606.40

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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.