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Finding the Fourth Proportional to 3,405.88, 5,105.74 and 2,366.37

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Solution

The fourth proportional to 3,405.88, 5,105.74 and 2,366.37 is: 3,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.88 : 5,105.74 = 2,366.37 : x
  2. Step 2: Convert to fraction form
    3,405.88/5,105.74 = 2,366.37/x
  3. Step 3: Cross multiply
    3,405.88x = 5,105.74 × 2,366.37
  4. Step 4: Simplify right side
    3,405.88x = 12,082,069.96
  5. Step 5: Solve for x
    x = 12,082,069.96/3,405.88
  6. Step 6: Final answer
    x = 3,547.42

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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.