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Finding the Fourth Proportional to 6,198.96, 8,554.76 and 3,547.23

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Solution

The fourth proportional to 6,198.96, 8,554.76 and 3,547.23 is: 4,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.96 : 8,554.76 = 3,547.23 : x
  2. Step 2: Convert to fraction form
    6,198.96/8,554.76 = 3,547.23/x
  3. Step 3: Cross multiply
    6,198.96x = 8,554.76 × 3,547.23
  4. Step 4: Simplify right side
    6,198.96x = 30,345,683.58
  5. Step 5: Solve for x
    x = 30,345,683.58/6,198.96
  6. Step 6: Final answer
    x = 4,895.29

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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.