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Finding the Fourth Proportional to 4,857.87, 7,282.08 and 3,097.38

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Solution

The fourth proportional to 4,857.87, 7,282.08 and 3,097.38 is: 4,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.87 : 7,282.08 = 3,097.38 : x
  2. Step 2: Convert to fraction form
    4,857.87/7,282.08 = 3,097.38/x
  3. Step 3: Cross multiply
    4,857.87x = 7,282.08 × 3,097.38
  4. Step 4: Simplify right side
    4,857.87x = 22,555,368.95
  5. Step 5: Solve for x
    x = 22,555,368.95/4,857.87
  6. Step 6: Final answer
    x = 4,643.06

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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.