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Finding the Fourth Proportional to 5,069.57, 7,604.81 and 1,782.69

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Solution

The fourth proportional to 5,069.57, 7,604.81 and 1,782.69 is: 2,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.57 : 7,604.81 = 1,782.69 : x
  2. Step 2: Convert to fraction form
    5,069.57/7,604.81 = 1,782.69/x
  3. Step 3: Cross multiply
    5,069.57x = 7,604.81 × 1,782.69
  4. Step 4: Simplify right side
    5,069.57x = 13,557,009.83
  5. Step 5: Solve for x
    x = 13,557,009.83/5,069.57
  6. Step 6: Final answer
    x = 2,674.19

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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.