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Finding the Fourth Proportional to 4,885.14, 6,741.72 and 3,470.34

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Solution

The fourth proportional to 4,885.14, 6,741.72 and 3,470.34 is: 4,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.14 : 6,741.72 = 3,470.34 : x
  2. Step 2: Convert to fraction form
    4,885.14/6,741.72 = 3,470.34/x
  3. Step 3: Cross multiply
    4,885.14x = 6,741.72 × 3,470.34
  4. Step 4: Simplify right side
    4,885.14x = 23,396,060.58
  5. Step 5: Solve for x
    x = 23,396,060.58/4,885.14
  6. Step 6: Final answer
    x = 4,789.23

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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.