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Finding the Fourth Proportional to 5,507.41, 7,589.72 and 5,406.19

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Solution

The fourth proportional to 5,507.41, 7,589.72 and 5,406.19 is: 7,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.41 : 7,589.72 = 5,406.19 : x
  2. Step 2: Convert to fraction form
    5,507.41/7,589.72 = 5,406.19/x
  3. Step 3: Cross multiply
    5,507.41x = 7,589.72 × 5,406.19
  4. Step 4: Simplify right side
    5,507.41x = 41,031,468.37
  5. Step 5: Solve for x
    x = 41,031,468.37/5,507.41
  6. Step 6: Final answer
    x = 7,450.23

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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.