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Finding the Fourth Proportional to 4,290.81, 6,447 and 2,731.51

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Solution

The fourth proportional to 4,290.81, 6,447 and 2,731.51 is: 4,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.81 : 6,447 = 2,731.51 : x
  2. Step 2: Convert to fraction form
    4,290.81/6,447 = 2,731.51/x
  3. Step 3: Cross multiply
    4,290.81x = 6,447 × 2,731.51
  4. Step 4: Simplify right side
    4,290.81x = 17,610,044.97
  5. Step 5: Solve for x
    x = 17,610,044.97/4,290.81
  6. Step 6: Final answer
    x = 4,104.13

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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.