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Finding the Fourth Proportional to 5,732.32, 8,598.77 and 1,786.27

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Solution

The fourth proportional to 5,732.32, 8,598.77 and 1,786.27 is: 2,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.32 : 8,598.77 = 1,786.27 : x
  2. Step 2: Convert to fraction form
    5,732.32/8,598.77 = 1,786.27/x
  3. Step 3: Cross multiply
    5,732.32x = 8,598.77 × 1,786.27
  4. Step 4: Simplify right side
    5,732.32x = 15,359,724.89
  5. Step 5: Solve for x
    x = 15,359,724.89/5,732.32
  6. Step 6: Final answer
    x = 2,679.50

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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.