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Finding the Fourth Proportional to 5,583.36, 7,702.57 and 3,458.33

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Solution

The fourth proportional to 5,583.36, 7,702.57 and 3,458.33 is: 4,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.36 : 7,702.57 = 3,458.33 : x
  2. Step 2: Convert to fraction form
    5,583.36/7,702.57 = 3,458.33/x
  3. Step 3: Cross multiply
    5,583.36x = 7,702.57 × 3,458.33
  4. Step 4: Simplify right side
    5,583.36x = 26,638,028.91
  5. Step 5: Solve for x
    x = 26,638,028.91/5,583.36
  6. Step 6: Final answer
    x = 4,770.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.