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Finding the Fourth Proportional to 5,471.87, 7,538.01 and 4,352.45

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Solution

The fourth proportional to 5,471.87, 7,538.01 and 4,352.45 is: 5,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.87 : 7,538.01 = 4,352.45 : x
  2. Step 2: Convert to fraction form
    5,471.87/7,538.01 = 4,352.45/x
  3. Step 3: Cross multiply
    5,471.87x = 7,538.01 × 4,352.45
  4. Step 4: Simplify right side
    5,471.87x = 32,808,811.62
  5. Step 5: Solve for x
    x = 32,808,811.62/5,471.87
  6. Step 6: Final answer
    x = 5,995.90

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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.