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Finding the Fourth Proportional to 5,702.72, 8,544.02 and 5,083.52

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Solution

The fourth proportional to 5,702.72, 8,544.02 and 5,083.52 is: 7,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.72 : 8,544.02 = 5,083.52 : x
  2. Step 2: Convert to fraction form
    5,702.72/8,544.02 = 5,083.52/x
  3. Step 3: Cross multiply
    5,702.72x = 8,544.02 × 5,083.52
  4. Step 4: Simplify right side
    5,702.72x = 43,433,628.41
  5. Step 5: Solve for x
    x = 43,433,628.41/5,702.72
  6. Step 6: Final answer
    x = 7,616.31

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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.