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Finding the Fourth Proportional to 5,782.56, 8,668.28 and 1,884.32

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Solution

The fourth proportional to 5,782.56, 8,668.28 and 1,884.32 is: 2,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.56 : 8,668.28 = 1,884.32 : x
  2. Step 2: Convert to fraction form
    5,782.56/8,668.28 = 1,884.32/x
  3. Step 3: Cross multiply
    5,782.56x = 8,668.28 × 1,884.32
  4. Step 4: Simplify right side
    5,782.56x = 16,333,813.37
  5. Step 5: Solve for x
    x = 16,333,813.37/5,782.56
  6. Step 6: Final answer
    x = 2,824.67

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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.