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Finding the Fourth Proportional to 6,224.81, 8,591.16 and 4,100.01

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Solution

The fourth proportional to 6,224.81, 8,591.16 and 4,100.01 is: 5,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.81 : 8,591.16 = 4,100.01 : x
  2. Step 2: Convert to fraction form
    6,224.81/8,591.16 = 4,100.01/x
  3. Step 3: Cross multiply
    6,224.81x = 8,591.16 × 4,100.01
  4. Step 4: Simplify right side
    6,224.81x = 35,223,841.91
  5. Step 5: Solve for x
    x = 35,223,841.91/6,224.81
  6. Step 6: Final answer
    x = 5,658.62

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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.