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Finding the Fourth Proportional to 5,829.16, 8,044.25 and 3,176.57

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Solution

The fourth proportional to 5,829.16, 8,044.25 and 3,176.57 is: 4,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.16 : 8,044.25 = 3,176.57 : x
  2. Step 2: Convert to fraction form
    5,829.16/8,044.25 = 3,176.57/x
  3. Step 3: Cross multiply
    5,829.16x = 8,044.25 × 3,176.57
  4. Step 4: Simplify right side
    5,829.16x = 25,553,112.37
  5. Step 5: Solve for x
    x = 25,553,112.37/5,829.16
  6. Step 6: Final answer
    x = 4,383.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.