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Finding the Fourth Proportional to 5,753.82, 8,632.08 and 1,858.08

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Solution

The fourth proportional to 5,753.82, 8,632.08 and 1,858.08 is: 2,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.82 : 8,632.08 = 1,858.08 : x
  2. Step 2: Convert to fraction form
    5,753.82/8,632.08 = 1,858.08/x
  3. Step 3: Cross multiply
    5,753.82x = 8,632.08 × 1,858.08
  4. Step 4: Simplify right side
    5,753.82x = 16,039,095.21
  5. Step 5: Solve for x
    x = 16,039,095.21/5,753.82
  6. Step 6: Final answer
    x = 2,787.56

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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.