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Finding the Fourth Proportional to 5,471.49, 7,549.16 and 3,232.38

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Solution

The fourth proportional to 5,471.49, 7,549.16 and 3,232.38 is: 4,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.49 : 7,549.16 = 3,232.38 : x
  2. Step 2: Convert to fraction form
    5,471.49/7,549.16 = 3,232.38/x
  3. Step 3: Cross multiply
    5,471.49x = 7,549.16 × 3,232.38
  4. Step 4: Simplify right side
    5,471.49x = 24,401,737.64
  5. Step 5: Solve for x
    x = 24,401,737.64/5,471.49
  6. Step 6: Final answer
    x = 4,459.80

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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.