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Finding the Fourth Proportional to 5,462.08, 7,536.90 and 3,071.72

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Solution

The fourth proportional to 5,462.08, 7,536.90 and 3,071.72 is: 4,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.08 : 7,536.90 = 3,071.72 : x
  2. Step 2: Convert to fraction form
    5,462.08/7,536.90 = 3,071.72/x
  3. Step 3: Cross multiply
    5,462.08x = 7,536.90 × 3,071.72
  4. Step 4: Simplify right side
    5,462.08x = 23,151,259.55
  5. Step 5: Solve for x
    x = 23,151,259.55/5,462.08
  6. Step 6: Final answer
    x = 4,238.54

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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.