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Finding the Fourth Proportional to 4,633.65, 6,961.41 and 3,813.53

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Solution

The fourth proportional to 4,633.65, 6,961.41 and 3,813.53 is: 5,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.65 : 6,961.41 = 3,813.53 : x
  2. Step 2: Convert to fraction form
    4,633.65/6,961.41 = 3,813.53/x
  3. Step 3: Cross multiply
    4,633.65x = 6,961.41 × 3,813.53
  4. Step 4: Simplify right side
    4,633.65x = 26,547,511.07
  5. Step 5: Solve for x
    x = 26,547,511.07/4,633.65
  6. Step 6: Final answer
    x = 5,729.29

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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.