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Finding the Fourth Proportional to 5,471.03, 7,601.00 and 5,405.42

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Solution

The fourth proportional to 5,471.03, 7,601.00 and 5,405.42 is: 7,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.03 : 7,601.00 = 5,405.42 : x
  2. Step 2: Convert to fraction form
    5,471.03/7,601.00 = 5,405.42/x
  3. Step 3: Cross multiply
    5,471.03x = 7,601.00 × 5,405.42
  4. Step 4: Simplify right side
    5,471.03x = 41,086,589.40
  5. Step 5: Solve for x
    x = 41,086,589.40/5,471.03
  6. Step 6: Final answer
    x = 7,509.84

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.