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Finding the Fourth Proportional to 3,599.26, 5,396.90 and 1,258.64

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Solution

The fourth proportional to 3,599.26, 5,396.90 and 1,258.64 is: 1,887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.26 : 5,396.90 = 1,258.64 : x
  2. Step 2: Convert to fraction form
    3,599.26/5,396.90 = 1,258.64/x
  3. Step 3: Cross multiply
    3,599.26x = 5,396.90 × 1,258.64
  4. Step 4: Simplify right side
    3,599.26x = 6,792,754.22
  5. Step 5: Solve for x
    x = 6,792,754.22/3,599.26
  6. Step 6: Final answer
    x = 1,887.26

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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.