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Finding the Fourth Proportional to 4,858.27, 6,702.42 and 3,089.23

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Solution

The fourth proportional to 4,858.27, 6,702.42 and 3,089.23 is: 4,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.27 : 6,702.42 = 3,089.23 : x
  2. Step 2: Convert to fraction form
    4,858.27/6,702.42 = 3,089.23/x
  3. Step 3: Cross multiply
    4,858.27x = 6,702.42 × 3,089.23
  4. Step 4: Simplify right side
    4,858.27x = 20,705,316.94
  5. Step 5: Solve for x
    x = 20,705,316.94/4,858.27
  6. Step 6: Final answer
    x = 4,261.87

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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.