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Finding the Fourth Proportional to 4,645.96, 6,959.86 and 3,081.31

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Solution

The fourth proportional to 4,645.96, 6,959.86 and 3,081.31 is: 4,615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.96 : 6,959.86 = 3,081.31 : x
  2. Step 2: Convert to fraction form
    4,645.96/6,959.86 = 3,081.31/x
  3. Step 3: Cross multiply
    4,645.96x = 6,959.86 × 3,081.31
  4. Step 4: Simplify right side
    4,645.96x = 21,445,486.22
  5. Step 5: Solve for x
    x = 21,445,486.22/4,645.96
  6. Step 6: Final answer
    x = 4,615.94

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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.