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Finding the Fourth Proportional to 3,770.68, 5,658.86 and 1,923.35

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Solution

The fourth proportional to 3,770.68, 5,658.86 and 1,923.35 is: 2,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.68 : 5,658.86 = 1,923.35 : x
  2. Step 2: Convert to fraction form
    3,770.68/5,658.86 = 1,923.35/x
  3. Step 3: Cross multiply
    3,770.68x = 5,658.86 × 1,923.35
  4. Step 4: Simplify right side
    3,770.68x = 10,883,944.90
  5. Step 5: Solve for x
    x = 10,883,944.90/3,770.68
  6. Step 6: Final answer
    x = 2,886.47

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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.