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Finding the Fourth Proportional to 3,538.84, 5,307.57 and 3,363.23

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Solution

The fourth proportional to 3,538.84, 5,307.57 and 3,363.23 is: 5,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.84 : 5,307.57 = 3,363.23 : x
  2. Step 2: Convert to fraction form
    3,538.84/5,307.57 = 3,363.23/x
  3. Step 3: Cross multiply
    3,538.84x = 5,307.57 × 3,363.23
  4. Step 4: Simplify right side
    3,538.84x = 17,850,578.65
  5. Step 5: Solve for x
    x = 17,850,578.65/3,538.84
  6. Step 6: Final answer
    x = 5,044.19

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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.