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Finding the Fourth Proportional to 4,266.77, 6,401.36 and 3,097.94

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Solution

The fourth proportional to 4,266.77, 6,401.36 and 3,097.94 is: 4,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.77 : 6,401.36 = 3,097.94 : x
  2. Step 2: Convert to fraction form
    4,266.77/6,401.36 = 3,097.94/x
  3. Step 3: Cross multiply
    4,266.77x = 6,401.36 × 3,097.94
  4. Step 4: Simplify right side
    4,266.77x = 19,830,981.70
  5. Step 5: Solve for x
    x = 19,830,981.70/4,266.77
  6. Step 6: Final answer
    x = 4,647.78

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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.