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Finding the Fourth Proportional to 5,786.13, 8,677.62 and 1,625.88

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Solution

The fourth proportional to 5,786.13, 8,677.62 and 1,625.88 is: 2,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.13 : 8,677.62 = 1,625.88 : x
  2. Step 2: Convert to fraction form
    5,786.13/8,677.62 = 1,625.88/x
  3. Step 3: Cross multiply
    5,786.13x = 8,677.62 × 1,625.88
  4. Step 4: Simplify right side
    5,786.13x = 14,108,768.81
  5. Step 5: Solve for x
    x = 14,108,768.81/5,786.13
  6. Step 6: Final answer
    x = 2,438.38

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Why These Related Problems?

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