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Finding the Fourth Proportional to 5,823.24, 8,035.80 and 3,170.49

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Solution

The fourth proportional to 5,823.24, 8,035.80 and 3,170.49 is: 4,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.24 : 8,035.80 = 3,170.49 : x
  2. Step 2: Convert to fraction form
    5,823.24/8,035.80 = 3,170.49/x
  3. Step 3: Cross multiply
    5,823.24x = 8,035.80 × 3,170.49
  4. Step 4: Simplify right side
    5,823.24x = 25,477,423.54
  5. Step 5: Solve for x
    x = 25,477,423.54/5,823.24
  6. Step 6: Final answer
    x = 4,375.13

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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.