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Finding the Fourth Proportional to 5,786.66, 8,678.20 and 2,088.41

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Solution

The fourth proportional to 5,786.66, 8,678.20 and 2,088.41 is: 3,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.66 : 8,678.20 = 2,088.41 : x
  2. Step 2: Convert to fraction form
    5,786.66/8,678.20 = 2,088.41/x
  3. Step 3: Cross multiply
    5,786.66x = 8,678.20 × 2,088.41
  4. Step 4: Simplify right side
    5,786.66x = 18,123,585.83
  5. Step 5: Solve for x
    x = 18,123,585.83/5,786.66
  6. Step 6: Final answer
    x = 3,131.96

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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.