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Finding the Fourth Proportional to 3,174.96, 4,382.61 and 2,584.47

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Solution

The fourth proportional to 3,174.96, 4,382.61 and 2,584.47 is: 3,567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.96 : 4,382.61 = 2,584.47 : x
  2. Step 2: Convert to fraction form
    3,174.96/4,382.61 = 2,584.47/x
  3. Step 3: Cross multiply
    3,174.96x = 4,382.61 × 2,584.47
  4. Step 4: Simplify right side
    3,174.96x = 11,326,724.07
  5. Step 5: Solve for x
    x = 11,326,724.07/3,174.96
  6. Step 6: Final answer
    x = 3,567.52

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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.