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Finding the Fourth Proportional to 3,889.40, 5,830.44 and 1,696.32

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Solution

The fourth proportional to 3,889.40, 5,830.44 and 1,696.32 is: 2,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.40 : 5,830.44 = 1,696.32 : x
  2. Step 2: Convert to fraction form
    3,889.40/5,830.44 = 1,696.32/x
  3. Step 3: Cross multiply
    3,889.40x = 5,830.44 × 1,696.32
  4. Step 4: Simplify right side
    3,889.40x = 9,890,291.98
  5. Step 5: Solve for x
    x = 9,890,291.98/3,889.40
  6. Step 6: Final answer
    x = 2,542.88

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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.