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Finding the Fourth Proportional to 5,462.34, 7,536.14 and 3,071.82

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Solution

The fourth proportional to 5,462.34, 7,536.14 and 3,071.82 is: 4,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.34 : 7,536.14 = 3,071.82 : x
  2. Step 2: Convert to fraction form
    5,462.34/7,536.14 = 3,071.82/x
  3. Step 3: Cross multiply
    5,462.34x = 7,536.14 × 3,071.82
  4. Step 4: Simplify right side
    5,462.34x = 23,149,690.00
  5. Step 5: Solve for x
    x = 23,149,690.00/5,462.34
  6. Step 6: Final answer
    x = 4,238.06

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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.