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Finding the Fourth Proportional to 3,895.99, 5,843.98 and 974.29

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Solution

The fourth proportional to 3,895.99, 5,843.98 and 974.29 is: 1,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.99 : 5,843.98 = 974.29 : x
  2. Step 2: Convert to fraction form
    3,895.99/5,843.98 = 974.29/x
  3. Step 3: Cross multiply
    3,895.99x = 5,843.98 × 974.29
  4. Step 4: Simplify right side
    3,895.99x = 5,693,756.84
  5. Step 5: Solve for x
    x = 5,693,756.84/3,895.99
  6. Step 6: Final answer
    x = 1,461.44

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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.