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Finding the Fourth Proportional to 5,471.56, 7,549.12 and 3,233.64

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Solution

The fourth proportional to 5,471.56, 7,549.12 and 3,233.64 is: 4,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.56 : 7,549.12 = 3,233.64 : x
  2. Step 2: Convert to fraction form
    5,471.56/7,549.12 = 3,233.64/x
  3. Step 3: Cross multiply
    5,471.56x = 7,549.12 × 3,233.64
  4. Step 4: Simplify right side
    5,471.56x = 24,411,136.40
  5. Step 5: Solve for x
    x = 24,411,136.40/5,471.56
  6. Step 6: Final answer
    x = 4,461.46

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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.