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Finding the Fourth Proportional to 4,702.14, 7,054.59 and 3,876.57

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Solution

The fourth proportional to 4,702.14, 7,054.59 and 3,876.57 is: 5,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.14 : 7,054.59 = 3,876.57 : x
  2. Step 2: Convert to fraction form
    4,702.14/7,054.59 = 3,876.57/x
  3. Step 3: Cross multiply
    4,702.14x = 7,054.59 × 3,876.57
  4. Step 4: Simplify right side
    4,702.14x = 27,347,611.96
  5. Step 5: Solve for x
    x = 27,347,611.96/4,702.14
  6. Step 6: Final answer
    x = 5,815.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.