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Finding the Fourth Proportional to 5,945.01, 8,931.18 and 4,194.05

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Solution

The fourth proportional to 5,945.01, 8,931.18 and 4,194.05 is: 6,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.01 : 8,931.18 = 4,194.05 : x
  2. Step 2: Convert to fraction form
    5,945.01/8,931.18 = 4,194.05/x
  3. Step 3: Cross multiply
    5,945.01x = 8,931.18 × 4,194.05
  4. Step 4: Simplify right side
    5,945.01x = 37,457,786.55
  5. Step 5: Solve for x
    x = 37,457,786.55/5,945.01
  6. Step 6: Final answer
    x = 6,300.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.