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Finding the Fourth Proportional to 4,704.89, 7,057.68 and 1,584.89

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Solution

The fourth proportional to 4,704.89, 7,057.68 and 1,584.89 is: 2,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.89 : 7,057.68 = 1,584.89 : x
  2. Step 2: Convert to fraction form
    4,704.89/7,057.68 = 1,584.89/x
  3. Step 3: Cross multiply
    4,704.89x = 7,057.68 × 1,584.89
  4. Step 4: Simplify right side
    4,704.89x = 11,185,611.17
  5. Step 5: Solve for x
    x = 11,185,611.17/4,704.89
  6. Step 6: Final answer
    x = 2,377.45

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1.5x scale

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.