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Finding the Fourth Proportional to 5,745.74, 8,560.82 and 5,368.49

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Solution

The fourth proportional to 5,745.74, 8,560.82 and 5,368.49 is: 7,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.74 : 8,560.82 = 5,368.49 : x
  2. Step 2: Convert to fraction form
    5,745.74/8,560.82 = 5,368.49/x
  3. Step 3: Cross multiply
    5,745.74x = 8,560.82 × 5,368.49
  4. Step 4: Simplify right side
    5,745.74x = 45,958,676.56
  5. Step 5: Solve for x
    x = 45,958,676.56/5,745.74
  6. Step 6: Final answer
    x = 7,998.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.