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Finding the Fourth Proportional to 3,702.47, 5,107.06 and 2,816.33

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Solution

The fourth proportional to 3,702.47, 5,107.06 and 2,816.33 is: 3,884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.47 : 5,107.06 = 2,816.33 : x
  2. Step 2: Convert to fraction form
    3,702.47/5,107.06 = 2,816.33/x
  3. Step 3: Cross multiply
    3,702.47x = 5,107.06 × 2,816.33
  4. Step 4: Simplify right side
    3,702.47x = 14,383,166.29
  5. Step 5: Solve for x
    x = 14,383,166.29/3,702.47
  6. Step 6: Final answer
    x = 3,884.75

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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.