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Finding the Fourth Proportional to 5,822.76, 8,035.20 and 3,170.13

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Solution

The fourth proportional to 5,822.76, 8,035.20 and 3,170.13 is: 4,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.76 : 8,035.20 = 3,170.13 : x
  2. Step 2: Convert to fraction form
    5,822.76/8,035.20 = 3,170.13/x
  3. Step 3: Cross multiply
    5,822.76x = 8,035.20 × 3,170.13
  4. Step 4: Simplify right side
    5,822.76x = 25,472,628.58
  5. Step 5: Solve for x
    x = 25,472,628.58/5,822.76
  6. Step 6: Final answer
    x = 4,374.67

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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.