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Finding the Fourth Proportional to 5,736.78, 8,603.52 and 1,576.93

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Solution

The fourth proportional to 5,736.78, 8,603.52 and 1,576.93 is: 2,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.78 : 8,603.52 = 1,576.93 : x
  2. Step 2: Convert to fraction form
    5,736.78/8,603.52 = 1,576.93/x
  3. Step 3: Cross multiply
    5,736.78x = 8,603.52 × 1,576.93
  4. Step 4: Simplify right side
    5,736.78x = 13,567,136.60
  5. Step 5: Solve for x
    x = 13,567,136.60/5,736.78
  6. Step 6: Final answer
    x = 2,364.94

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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.