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Finding the Fourth Proportional to 3,005.94, 4,154.19 and 2,568.54

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Solution

The fourth proportional to 3,005.94, 4,154.19 and 2,568.54 is: 3,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.94 : 4,154.19 = 2,568.54 : x
  2. Step 2: Convert to fraction form
    3,005.94/4,154.19 = 2,568.54/x
  3. Step 3: Cross multiply
    3,005.94x = 4,154.19 × 2,568.54
  4. Step 4: Simplify right side
    3,005.94x = 10,670,203.18
  5. Step 5: Solve for x
    x = 10,670,203.18/3,005.94
  6. Step 6: Final answer
    x = 3,549.71

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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.