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Finding the Fourth Proportional to 4,189.72, 5,785.54 and 3,077

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Solution

The fourth proportional to 4,189.72, 5,785.54 and 3,077 is: 4,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.72 : 5,785.54 = 3,077 : x
  2. Step 2: Convert to fraction form
    4,189.72/5,785.54 = 3,077/x
  3. Step 3: Cross multiply
    4,189.72x = 5,785.54 × 3,077
  4. Step 4: Simplify right side
    4,189.72x = 17,802,106.58
  5. Step 5: Solve for x
    x = 17,802,106.58/4,189.72
  6. Step 6: Final answer
    x = 4,249.00

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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.