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Finding the Fourth Proportional to 5,462.72, 7,541.05 and 3,475.96

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Solution

The fourth proportional to 5,462.72, 7,541.05 and 3,475.96 is: 4,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.72 : 7,541.05 = 3,475.96 : x
  2. Step 2: Convert to fraction form
    5,462.72/7,541.05 = 3,475.96/x
  3. Step 3: Cross multiply
    5,462.72x = 7,541.05 × 3,475.96
  4. Step 4: Simplify right side
    5,462.72x = 26,212,409.55
  5. Step 5: Solve for x
    x = 26,212,409.55/5,462.72
  6. Step 6: Final answer
    x = 4,798.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.