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Finding the Fourth Proportional to 5,996.74, 8,275.16 and 3,344.34

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Solution

The fourth proportional to 5,996.74, 8,275.16 and 3,344.34 is: 4,615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.74 : 8,275.16 = 3,344.34 : x
  2. Step 2: Convert to fraction form
    5,996.74/8,275.16 = 3,344.34/x
  3. Step 3: Cross multiply
    5,996.74x = 8,275.16 × 3,344.34
  4. Step 4: Simplify right side
    5,996.74x = 27,674,948.59
  5. Step 5: Solve for x
    x = 27,674,948.59/5,996.74
  6. Step 6: Final answer
    x = 4,615.00

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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.