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Finding the Fourth Proportional to 4,066.88, 6,102.72 and 2,119.76

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Solution

The fourth proportional to 4,066.88, 6,102.72 and 2,119.76 is: 3,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.88 : 6,102.72 = 2,119.76 : x
  2. Step 2: Convert to fraction form
    4,066.88/6,102.72 = 2,119.76/x
  3. Step 3: Cross multiply
    4,066.88x = 6,102.72 × 2,119.76
  4. Step 4: Simplify right side
    4,066.88x = 12,936,301.75
  5. Step 5: Solve for x
    x = 12,936,301.75/4,066.88
  6. Step 6: Final answer
    x = 3,180.89

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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.