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Finding the Fourth Proportional to 5,069.97, 7,606.29 and 1,782.57

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Solution

The fourth proportional to 5,069.97, 7,606.29 and 1,782.57 is: 2,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.97 : 7,606.29 = 1,782.57 : x
  2. Step 2: Convert to fraction form
    5,069.97/7,606.29 = 1,782.57/x
  3. Step 3: Cross multiply
    5,069.97x = 7,606.29 × 1,782.57
  4. Step 4: Simplify right side
    5,069.97x = 13,558,744.37
  5. Step 5: Solve for x
    x = 13,558,744.37/5,069.97
  6. Step 6: Final answer
    x = 2,674.32

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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.