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Finding the Fourth Proportional to 5,249.02, 7,874.34 and 1,786

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Solution

The fourth proportional to 5,249.02, 7,874.34 and 1,786 is: 2,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.02 : 7,874.34 = 1,786 : x
  2. Step 2: Convert to fraction form
    5,249.02/7,874.34 = 1,786/x
  3. Step 3: Cross multiply
    5,249.02x = 7,874.34 × 1,786
  4. Step 4: Simplify right side
    5,249.02x = 14,063,571.24
  5. Step 5: Solve for x
    x = 14,063,571.24/5,249.02
  6. Step 6: Final answer
    x = 2,679.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.