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Finding the Fourth Proportional to 5,827.95, 8,732.21 and 4,093.47

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Solution

The fourth proportional to 5,827.95, 8,732.21 and 4,093.47 is: 6,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.95 : 8,732.21 = 4,093.47 : x
  2. Step 2: Convert to fraction form
    5,827.95/8,732.21 = 4,093.47/x
  3. Step 3: Cross multiply
    5,827.95x = 8,732.21 × 4,093.47
  4. Step 4: Simplify right side
    5,827.95x = 35,745,019.20
  5. Step 5: Solve for x
    x = 35,745,019.20/5,827.95
  6. Step 6: Final answer
    x = 6,133.38

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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.