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Finding the Fourth Proportional to 5,457.44, 7,541.49 and 4,462.34

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Solution

The fourth proportional to 5,457.44, 7,541.49 and 4,462.34 is: 6,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.44 : 7,541.49 = 4,462.34 : x
  2. Step 2: Convert to fraction form
    5,457.44/7,541.49 = 4,462.34/x
  3. Step 3: Cross multiply
    5,457.44x = 7,541.49 × 4,462.34
  4. Step 4: Simplify right side
    5,457.44x = 33,652,692.49
  5. Step 5: Solve for x
    x = 33,652,692.49/5,457.44
  6. Step 6: Final answer
    x = 6,166.39

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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.