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Finding the Fourth Proportional to 3,696.71, 5,547.14 and 1,965.29

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Solution

The fourth proportional to 3,696.71, 5,547.14 and 1,965.29 is: 2,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.71 : 5,547.14 = 1,965.29 : x
  2. Step 2: Convert to fraction form
    3,696.71/5,547.14 = 1,965.29/x
  3. Step 3: Cross multiply
    3,696.71x = 5,547.14 × 1,965.29
  4. Step 4: Simplify right side
    3,696.71x = 10,901,728.94
  5. Step 5: Solve for x
    x = 10,901,728.94/3,696.71
  6. Step 6: Final answer
    x = 2,949.04

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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.