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Finding the Fourth Proportional to 5,547.57, 7,653.81 and 3,660.09

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Solution

The fourth proportional to 5,547.57, 7,653.81 and 3,660.09 is: 5,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.57 : 7,653.81 = 3,660.09 : x
  2. Step 2: Convert to fraction form
    5,547.57/7,653.81 = 3,660.09/x
  3. Step 3: Cross multiply
    5,547.57x = 7,653.81 × 3,660.09
  4. Step 4: Simplify right side
    5,547.57x = 28,013,633.44
  5. Step 5: Solve for x
    x = 28,013,633.44/5,547.57
  6. Step 6: Final answer
    x = 5,049.71

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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.