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Finding the Fourth Proportional to 4,857.84, 6,702.75 and 3,092.04

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Solution

The fourth proportional to 4,857.84, 6,702.75 and 3,092.04 is: 4,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.84 : 6,702.75 = 3,092.04 : x
  2. Step 2: Convert to fraction form
    4,857.84/6,702.75 = 3,092.04/x
  3. Step 3: Cross multiply
    4,857.84x = 6,702.75 × 3,092.04
  4. Step 4: Simplify right side
    4,857.84x = 20,725,171.11
  5. Step 5: Solve for x
    x = 20,725,171.11/4,857.84
  6. Step 6: Final answer
    x = 4,266.33

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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.