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Finding the Fourth Proportional to 5,696.09, 8,547.96 and 1,998.34

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Solution

The fourth proportional to 5,696.09, 8,547.96 and 1,998.34 is: 2,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.09 : 8,547.96 = 1,998.34 : x
  2. Step 2: Convert to fraction form
    5,696.09/8,547.96 = 1,998.34/x
  3. Step 3: Cross multiply
    5,696.09x = 8,547.96 × 1,998.34
  4. Step 4: Simplify right side
    5,696.09x = 17,081,716.51
  5. Step 5: Solve for x
    x = 17,081,716.51/5,696.09
  6. Step 6: Final answer
    x = 2,998.85

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