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Finding the Fourth Proportional to 4,102.40, 6,144.48 and 3,063.68

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Solution

The fourth proportional to 4,102.40, 6,144.48 and 3,063.68 is: 4,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.40 : 6,144.48 = 3,063.68 : x
  2. Step 2: Convert to fraction form
    4,102.40/6,144.48 = 3,063.68/x
  3. Step 3: Cross multiply
    4,102.40x = 6,144.48 × 3,063.68
  4. Step 4: Simplify right side
    4,102.40x = 18,824,720.49
  5. Step 5: Solve for x
    x = 18,824,720.49/4,102.40
  6. Step 6: Final answer
    x = 4,588.71

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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.