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Finding the Fourth Proportional to 5,720.40, 7,890.09 and 5,249.82

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Solution

The fourth proportional to 5,720.40, 7,890.09 and 5,249.82 is: 7,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.40 : 7,890.09 = 5,249.82 : x
  2. Step 2: Convert to fraction form
    5,720.40/7,890.09 = 5,249.82/x
  3. Step 3: Cross multiply
    5,720.40x = 7,890.09 × 5,249.82
  4. Step 4: Simplify right side
    5,720.40x = 41,421,516.17
  5. Step 5: Solve for x
    x = 41,421,516.17/5,720.40
  6. Step 6: Final answer
    x = 7,241.01

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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.