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Finding the Fourth Proportional to 3,696.94, 5,102.24 and 2,370.16

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Solution

The fourth proportional to 3,696.94, 5,102.24 and 2,370.16 is: 3,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.94 : 5,102.24 = 2,370.16 : x
  2. Step 2: Convert to fraction form
    3,696.94/5,102.24 = 2,370.16/x
  3. Step 3: Cross multiply
    3,696.94x = 5,102.24 × 2,370.16
  4. Step 4: Simplify right side
    3,696.94x = 12,093,133.02
  5. Step 5: Solve for x
    x = 12,093,133.02/3,696.94
  6. Step 6: Final answer
    x = 3,271.12

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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.