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Finding the Fourth Proportional to 5,069.13, 7,600.59 and 1,782.60

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Solution

The fourth proportional to 5,069.13, 7,600.59 and 1,782.60 is: 2,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.13 : 7,600.59 = 1,782.60 : x
  2. Step 2: Convert to fraction form
    5,069.13/7,600.59 = 1,782.60/x
  3. Step 3: Cross multiply
    5,069.13x = 7,600.59 × 1,782.60
  4. Step 4: Simplify right side
    5,069.13x = 13,548,811.73
  5. Step 5: Solve for x
    x = 13,548,811.73/5,069.13
  6. Step 6: Final answer
    x = 2,672.81

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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.