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Finding the Fourth Proportional to 5,823.17, 8,035.56 and 3,170.54

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Solution

The fourth proportional to 5,823.17, 8,035.56 and 3,170.54 is: 4,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.17 : 8,035.56 = 3,170.54 : x
  2. Step 2: Convert to fraction form
    5,823.17/8,035.56 = 3,170.54/x
  3. Step 3: Cross multiply
    5,823.17x = 8,035.56 × 3,170.54
  4. Step 4: Simplify right side
    5,823.17x = 25,477,064.40
  5. Step 5: Solve for x
    x = 25,477,064.40/5,823.17
  6. Step 6: Final answer
    x = 4,375.12

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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.