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Finding the Fourth Proportional to 3,307.70, 4,968.40 and 3,197

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Solution

The fourth proportional to 3,307.70, 4,968.40 and 3,197 is: 4,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.70 : 4,968.40 = 3,197 : x
  2. Step 2: Convert to fraction form
    3,307.70/4,968.40 = 3,197/x
  3. Step 3: Cross multiply
    3,307.70x = 4,968.40 × 3,197
  4. Step 4: Simplify right side
    3,307.70x = 15,883,974.80
  5. Step 5: Solve for x
    x = 15,883,974.80/3,307.70
  6. Step 6: Final answer
    x = 4,802.12

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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.