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Finding the Fourth Proportional to 4,680.14, 7,019.18 and 1,906.08

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Solution

The fourth proportional to 4,680.14, 7,019.18 and 1,906.08 is: 2,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.14 : 7,019.18 = 1,906.08 : x
  2. Step 2: Convert to fraction form
    4,680.14/7,019.18 = 1,906.08/x
  3. Step 3: Cross multiply
    4,680.14x = 7,019.18 × 1,906.08
  4. Step 4: Simplify right side
    4,680.14x = 13,379,118.61
  5. Step 5: Solve for x
    x = 13,379,118.61/4,680.14
  6. Step 6: Final answer
    x = 2,858.70

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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.