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Finding the Fourth Proportional to 4,205.44, 5,800.40 and 3,086

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Solution

The fourth proportional to 4,205.44, 5,800.40 and 3,086 is: 4,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.44 : 5,800.40 = 3,086 : x
  2. Step 2: Convert to fraction form
    4,205.44/5,800.40 = 3,086/x
  3. Step 3: Cross multiply
    4,205.44x = 5,800.40 × 3,086
  4. Step 4: Simplify right side
    4,205.44x = 17,900,034.40
  5. Step 5: Solve for x
    x = 17,900,034.40/4,205.44
  6. Step 6: Final answer
    x = 4,256.40

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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.