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Finding the Fourth Proportional to 3,688.34, 5,538.11 and 3,173.99

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Solution

The fourth proportional to 3,688.34, 5,538.11 and 3,173.99 is: 4,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.34 : 5,538.11 = 3,173.99 : x
  2. Step 2: Convert to fraction form
    3,688.34/5,538.11 = 3,173.99/x
  3. Step 3: Cross multiply
    3,688.34x = 5,538.11 × 3,173.99
  4. Step 4: Simplify right side
    3,688.34x = 17,577,862.20
  5. Step 5: Solve for x
    x = 17,577,862.20/3,688.34
  6. Step 6: Final answer
    x = 4,765.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.