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Finding the Fourth Proportional to 3,670.85, 5,066.02 and 2,077.49

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Solution

The fourth proportional to 3,670.85, 5,066.02 and 2,077.49 is: 2,867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.85 : 5,066.02 = 2,077.49 : x
  2. Step 2: Convert to fraction form
    3,670.85/5,066.02 = 2,077.49/x
  3. Step 3: Cross multiply
    3,670.85x = 5,066.02 × 2,077.49
  4. Step 4: Simplify right side
    3,670.85x = 10,524,609.47
  5. Step 5: Solve for x
    x = 10,524,609.47/3,670.85
  6. Step 6: Final answer
    x = 2,867.08

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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.