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Finding the Fourth Proportional to 4,706.56, 7,054.08 and 2,396.80

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Solution

The fourth proportional to 4,706.56, 7,054.08 and 2,396.80 is: 3,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.56 : 7,054.08 = 2,396.80 : x
  2. Step 2: Convert to fraction form
    4,706.56/7,054.08 = 2,396.80/x
  3. Step 3: Cross multiply
    4,706.56x = 7,054.08 × 2,396.80
  4. Step 4: Simplify right side
    4,706.56x = 16,907,218.94
  5. Step 5: Solve for x
    x = 16,907,218.94/4,706.56
  6. Step 6: Final answer
    x = 3,592.27

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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.