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Finding the Fourth Proportional to 4,783.42, 7,170.78 and 1,704.70

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Solution

The fourth proportional to 4,783.42, 7,170.78 and 1,704.70 is: 2,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.42 : 7,170.78 = 1,704.70 : x
  2. Step 2: Convert to fraction form
    4,783.42/7,170.78 = 1,704.70/x
  3. Step 3: Cross multiply
    4,783.42x = 7,170.78 × 1,704.70
  4. Step 4: Simplify right side
    4,783.42x = 12,224,028.67
  5. Step 5: Solve for x
    x = 12,224,028.67/4,783.42
  6. Step 6: Final answer
    x = 2,555.50

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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.