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Finding the Fourth Proportional to 3,186.32, 4,396.95 and 1,859.94

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Solution

The fourth proportional to 3,186.32, 4,396.95 and 1,859.94 is: 2,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.32 : 4,396.95 = 1,859.94 : x
  2. Step 2: Convert to fraction form
    3,186.32/4,396.95 = 1,859.94/x
  3. Step 3: Cross multiply
    3,186.32x = 4,396.95 × 1,859.94
  4. Step 4: Simplify right side
    3,186.32x = 8,178,063.18
  5. Step 5: Solve for x
    x = 8,178,063.18/3,186.32
  6. Step 6: Final answer
    x = 2,566.62

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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.