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Finding the Fourth Proportional to 3,605.81, 5,410.87 and 1,297.49

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Solution

The fourth proportional to 3,605.81, 5,410.87 and 1,297.49 is: 1,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.81 : 5,410.87 = 1,297.49 : x
  2. Step 2: Convert to fraction form
    3,605.81/5,410.87 = 1,297.49/x
  3. Step 3: Cross multiply
    3,605.81x = 5,410.87 × 1,297.49
  4. Step 4: Simplify right side
    3,605.81x = 7,020,519.42
  5. Step 5: Solve for x
    x = 7,020,519.42/3,605.81
  6. Step 6: Final answer
    x = 1,947.00

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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.