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Finding the Fourth Proportional to 5,732.25, 8,598.78 and 1,786.34

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Solution

The fourth proportional to 5,732.25, 8,598.78 and 1,786.34 is: 2,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.25 : 8,598.78 = 1,786.34 : x
  2. Step 2: Convert to fraction form
    5,732.25/8,598.78 = 1,786.34/x
  3. Step 3: Cross multiply
    5,732.25x = 8,598.78 × 1,786.34
  4. Step 4: Simplify right side
    5,732.25x = 15,360,301.67
  5. Step 5: Solve for x
    x = 15,360,301.67/5,732.25
  6. Step 6: Final answer
    x = 2,679.63

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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.