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Finding the Fourth Proportional to 5,778.48, 8,668.28 and 1,882.96

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Solution

The fourth proportional to 5,778.48, 8,668.28 and 1,882.96 is: 2,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.48 : 8,668.28 = 1,882.96 : x
  2. Step 2: Convert to fraction form
    5,778.48/8,668.28 = 1,882.96/x
  3. Step 3: Cross multiply
    5,778.48x = 8,668.28 × 1,882.96
  4. Step 4: Simplify right side
    5,778.48x = 16,322,024.51
  5. Step 5: Solve for x
    x = 16,322,024.51/5,778.48
  6. Step 6: Final answer
    x = 2,824.62

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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.