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Finding the Fourth Proportional to 3,534.96, 5,304.24 and 2,674.56

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Solution

The fourth proportional to 3,534.96, 5,304.24 and 2,674.56 is: 4,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.96 : 5,304.24 = 2,674.56 : x
  2. Step 2: Convert to fraction form
    3,534.96/5,304.24 = 2,674.56/x
  3. Step 3: Cross multiply
    3,534.96x = 5,304.24 × 2,674.56
  4. Step 4: Simplify right side
    3,534.96x = 14,186,508.13
  5. Step 5: Solve for x
    x = 14,186,508.13/3,534.96
  6. Step 6: Final answer
    x = 4,013.20

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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.