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Finding the Fourth Proportional to 4,119.70, 6,185.06 and 2,366.46

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Solution

The fourth proportional to 4,119.70, 6,185.06 and 2,366.46 is: 3,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.70 : 6,185.06 = 2,366.46 : x
  2. Step 2: Convert to fraction form
    4,119.70/6,185.06 = 2,366.46/x
  3. Step 3: Cross multiply
    4,119.70x = 6,185.06 × 2,366.46
  4. Step 4: Simplify right side
    4,119.70x = 14,636,697.09
  5. Step 5: Solve for x
    x = 14,636,697.09/4,119.70
  6. Step 6: Final answer
    x = 3,552.86

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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.