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Finding the Fourth Proportional to 4,702.75, 6,486.68 and 3,026.27

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Solution

The fourth proportional to 4,702.75, 6,486.68 and 3,026.27 is: 4,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.75 : 6,486.68 = 3,026.27 : x
  2. Step 2: Convert to fraction form
    4,702.75/6,486.68 = 3,026.27/x
  3. Step 3: Cross multiply
    4,702.75x = 6,486.68 × 3,026.27
  4. Step 4: Simplify right side
    4,702.75x = 19,630,468.87
  5. Step 5: Solve for x
    x = 19,630,468.87/4,702.75
  6. Step 6: Final answer
    x = 4,174.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.