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Finding the Fourth Proportional to 5,462.45, 7,541.04 and 3,679.30

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Solution

The fourth proportional to 5,462.45, 7,541.04 and 3,679.30 is: 5,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.45 : 7,541.04 = 3,679.30 : x
  2. Step 2: Convert to fraction form
    5,462.45/7,541.04 = 3,679.30/x
  3. Step 3: Cross multiply
    5,462.45x = 7,541.04 × 3,679.30
  4. Step 4: Simplify right side
    5,462.45x = 27,745,748.47
  5. Step 5: Solve for x
    x = 27,745,748.47/5,462.45
  6. Step 6: Final answer
    x = 5,079.36

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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.