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Finding the Fourth Proportional to 3,696.44, 5,546.10 and 1,643

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Solution

The fourth proportional to 3,696.44, 5,546.10 and 1,643 is: 2,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.44 : 5,546.10 = 1,643 : x
  2. Step 2: Convert to fraction form
    3,696.44/5,546.10 = 1,643/x
  3. Step 3: Cross multiply
    3,696.44x = 5,546.10 × 1,643
  4. Step 4: Simplify right side
    3,696.44x = 9,112,242.30
  5. Step 5: Solve for x
    x = 9,112,242.30/3,696.44
  6. Step 6: Final answer
    x = 2,465.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.