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Finding the Fourth Proportional to 5,454.81, 8,182.89 and 1,559.25

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Solution

The fourth proportional to 5,454.81, 8,182.89 and 1,559.25 is: 2,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.81 : 8,182.89 = 1,559.25 : x
  2. Step 2: Convert to fraction form
    5,454.81/8,182.89 = 1,559.25/x
  3. Step 3: Cross multiply
    5,454.81x = 8,182.89 × 1,559.25
  4. Step 4: Simplify right side
    5,454.81x = 12,759,171.23
  5. Step 5: Solve for x
    x = 12,759,171.23/5,454.81
  6. Step 6: Final answer
    x = 2,339.07

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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.