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Finding the Fourth Proportional to 4,134.44, 6,200.04 and 1,536.56

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Solution

The fourth proportional to 4,134.44, 6,200.04 and 1,536.56 is: 2,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.44 : 6,200.04 = 1,536.56 : x
  2. Step 2: Convert to fraction form
    4,134.44/6,200.04 = 1,536.56/x
  3. Step 3: Cross multiply
    4,134.44x = 6,200.04 × 1,536.56
  4. Step 4: Simplify right side
    4,134.44x = 9,526,733.46
  5. Step 5: Solve for x
    x = 9,526,733.46/4,134.44
  6. Step 6: Final answer
    x = 2,304.24

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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.