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Finding the Fourth Proportional to 4,047.74, 6,069.08 and 1,706.54

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Solution

The fourth proportional to 4,047.74, 6,069.08 and 1,706.54 is: 2,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.74 : 6,069.08 = 1,706.54 : x
  2. Step 2: Convert to fraction form
    4,047.74/6,069.08 = 1,706.54/x
  3. Step 3: Cross multiply
    4,047.74x = 6,069.08 × 1,706.54
  4. Step 4: Simplify right side
    4,047.74x = 10,357,097.44
  5. Step 5: Solve for x
    x = 10,357,097.44/4,047.74
  6. Step 6: Final answer
    x = 2,558.74

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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.