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Finding the Fourth Proportional to 5,205.51, 7,185.11 and 2,968.61

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Solution

The fourth proportional to 5,205.51, 7,185.11 and 2,968.61 is: 4,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.51 : 7,185.11 = 2,968.61 : x
  2. Step 2: Convert to fraction form
    5,205.51/7,185.11 = 2,968.61/x
  3. Step 3: Cross multiply
    5,205.51x = 7,185.11 × 2,968.61
  4. Step 4: Simplify right side
    5,205.51x = 21,329,738.63
  5. Step 5: Solve for x
    x = 21,329,738.63/5,205.51
  6. Step 6: Final answer
    x = 4,097.53

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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.