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Finding the Fourth Proportional to 5,867.13, 8,094.42 and 3,628.29

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Solution

The fourth proportional to 5,867.13, 8,094.42 and 3,628.29 is: 5,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.13 : 8,094.42 = 3,628.29 : x
  2. Step 2: Convert to fraction form
    5,867.13/8,094.42 = 3,628.29/x
  3. Step 3: Cross multiply
    5,867.13x = 8,094.42 × 3,628.29
  4. Step 4: Simplify right side
    5,867.13x = 29,368,903.14
  5. Step 5: Solve for x
    x = 29,368,903.14/5,867.13
  6. Step 6: Final answer
    x = 5,005.67

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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.