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Finding the Fourth Proportional to 4,761.63, 6,574.30 and 2,969.81

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Solution

The fourth proportional to 4,761.63, 6,574.30 and 2,969.81 is: 4,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.63 : 6,574.30 = 2,969.81 : x
  2. Step 2: Convert to fraction form
    4,761.63/6,574.30 = 2,969.81/x
  3. Step 3: Cross multiply
    4,761.63x = 6,574.30 × 2,969.81
  4. Step 4: Simplify right side
    4,761.63x = 19,524,407.03
  5. Step 5: Solve for x
    x = 19,524,407.03/4,761.63
  6. Step 6: Final answer
    x = 4,100.36

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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.