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Finding the Fourth Proportional to 3,696.27, 5,100.51 and 2,702.10

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Solution

The fourth proportional to 3,696.27, 5,100.51 and 2,702.10 is: 3,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.27 : 5,100.51 = 2,702.10 : x
  2. Step 2: Convert to fraction form
    3,696.27/5,100.51 = 2,702.10/x
  3. Step 3: Cross multiply
    3,696.27x = 5,100.51 × 2,702.10
  4. Step 4: Simplify right side
    3,696.27x = 13,782,088.07
  5. Step 5: Solve for x
    x = 13,782,088.07/3,696.27
  6. Step 6: Final answer
    x = 3,728.65

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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.