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Finding the Fourth Proportional to 4,477.98, 6,702.93 and 2,828.82

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Solution

The fourth proportional to 4,477.98, 6,702.93 and 2,828.82 is: 4,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.98 : 6,702.93 = 2,828.82 : x
  2. Step 2: Convert to fraction form
    4,477.98/6,702.93 = 2,828.82/x
  3. Step 3: Cross multiply
    4,477.98x = 6,702.93 × 2,828.82
  4. Step 4: Simplify right side
    4,477.98x = 18,961,382.44
  5. Step 5: Solve for x
    x = 18,961,382.44/4,477.98
  6. Step 6: Final answer
    x = 4,234.36

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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.