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Finding the Fourth Proportional to 3,185.36, 4,396.20 and 1,859.12

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Solution

The fourth proportional to 3,185.36, 4,396.20 and 1,859.12 is: 2,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.36 : 4,396.20 = 1,859.12 : x
  2. Step 2: Convert to fraction form
    3,185.36/4,396.20 = 1,859.12/x
  3. Step 3: Cross multiply
    3,185.36x = 4,396.20 × 1,859.12
  4. Step 4: Simplify right side
    3,185.36x = 8,173,063.34
  5. Step 5: Solve for x
    x = 8,173,063.34/3,185.36
  6. Step 6: Final answer
    x = 2,565.82

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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.