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Finding the Fourth Proportional to 5,698.10, 7,863.90 and 3,459.44

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Solution

The fourth proportional to 5,698.10, 7,863.90 and 3,459.44 is: 4,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.10 : 7,863.90 = 3,459.44 : x
  2. Step 2: Convert to fraction form
    5,698.10/7,863.90 = 3,459.44/x
  3. Step 3: Cross multiply
    5,698.10x = 7,863.90 × 3,459.44
  4. Step 4: Simplify right side
    5,698.10x = 27,204,690.22
  5. Step 5: Solve for x
    x = 27,204,690.22/5,698.10
  6. Step 6: Final answer
    x = 4,774.34

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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.