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Finding the Fourth Proportional to 4,704.78, 7,057.47 and 1,584.53

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Solution

The fourth proportional to 4,704.78, 7,057.47 and 1,584.53 is: 2,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.78 : 7,057.47 = 1,584.53 : x
  2. Step 2: Convert to fraction form
    4,704.78/7,057.47 = 1,584.53/x
  3. Step 3: Cross multiply
    4,704.78x = 7,057.47 × 1,584.53
  4. Step 4: Simplify right side
    4,704.78x = 11,182,772.94
  5. Step 5: Solve for x
    x = 11,182,772.94/4,704.78
  6. Step 6: Final answer
    x = 2,376.90

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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.