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Finding the Fourth Proportional to 3,505.98, 5,258.97 and 1,559.55

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Solution

The fourth proportional to 3,505.98, 5,258.97 and 1,559.55 is: 2,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.98 : 5,258.97 = 1,559.55 : x
  2. Step 2: Convert to fraction form
    3,505.98/5,258.97 = 1,559.55/x
  3. Step 3: Cross multiply
    3,505.98x = 5,258.97 × 1,559.55
  4. Step 4: Simplify right side
    3,505.98x = 8,201,626.66
  5. Step 5: Solve for x
    x = 8,201,626.66/3,505.98
  6. Step 6: Final answer
    x = 2,339.33

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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.