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Finding the Fourth Proportional to 3,605.64, 5,408.52 and 1,297.08

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Solution

The fourth proportional to 3,605.64, 5,408.52 and 1,297.08 is: 1,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.64 : 5,408.52 = 1,297.08 : x
  2. Step 2: Convert to fraction form
    3,605.64/5,408.52 = 1,297.08/x
  3. Step 3: Cross multiply
    3,605.64x = 5,408.52 × 1,297.08
  4. Step 4: Simplify right side
    3,605.64x = 7,015,283.12
  5. Step 5: Solve for x
    x = 7,015,283.12/3,605.64
  6. Step 6: Final answer
    x = 1,945.64

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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.