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Finding the Fourth Proportional to 5,776.55, 8,665.88 and 1,828.79

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Solution

The fourth proportional to 5,776.55, 8,665.88 and 1,828.79 is: 2,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.55 : 8,665.88 = 1,828.79 : x
  2. Step 2: Convert to fraction form
    5,776.55/8,665.88 = 1,828.79/x
  3. Step 3: Cross multiply
    5,776.55x = 8,665.88 × 1,828.79
  4. Step 4: Simplify right side
    5,776.55x = 15,848,022.21
  5. Step 5: Solve for x
    x = 15,848,022.21/5,776.55
  6. Step 6: Final answer
    x = 2,743.51

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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.