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Finding the Fourth Proportional to 4,801.56, 6,626.57 and 2,706.09

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Solution

The fourth proportional to 4,801.56, 6,626.57 and 2,706.09 is: 3,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.56 : 6,626.57 = 2,706.09 : x
  2. Step 2: Convert to fraction form
    4,801.56/6,626.57 = 2,706.09/x
  3. Step 3: Cross multiply
    4,801.56x = 6,626.57 × 2,706.09
  4. Step 4: Simplify right side
    4,801.56x = 17,932,094.81
  5. Step 5: Solve for x
    x = 17,932,094.81/4,801.56
  6. Step 6: Final answer
    x = 3,734.64

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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.