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Finding the Fourth Proportional to 5,074.38, 7,608.69 and 3,703.50

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Solution

The fourth proportional to 5,074.38, 7,608.69 and 3,703.50 is: 5,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.38 : 7,608.69 = 3,703.50 : x
  2. Step 2: Convert to fraction form
    5,074.38/7,608.69 = 3,703.50/x
  3. Step 3: Cross multiply
    5,074.38x = 7,608.69 × 3,703.50
  4. Step 4: Simplify right side
    5,074.38x = 28,178,783.42
  5. Step 5: Solve for x
    x = 28,178,783.42/5,074.38
  6. Step 6: Final answer
    x = 5,553.15

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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.