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Finding the Fourth Proportional to 3,696.16, 5,100.70 and 2,017.57

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Solution

The fourth proportional to 3,696.16, 5,100.70 and 2,017.57 is: 2,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.16 : 5,100.70 = 2,017.57 : x
  2. Step 2: Convert to fraction form
    3,696.16/5,100.70 = 2,017.57/x
  3. Step 3: Cross multiply
    3,696.16x = 5,100.70 × 2,017.57
  4. Step 4: Simplify right side
    3,696.16x = 10,291,019.30
  5. Step 5: Solve for x
    x = 10,291,019.30/3,696.16
  6. Step 6: Final answer
    x = 2,784.25

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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.