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Finding the Fourth Proportional to 5,827.38, 8,745.30 and 4,370.46

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Solution

The fourth proportional to 5,827.38, 8,745.30 and 4,370.46 is: 6,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.38 : 8,745.30 = 4,370.46 : x
  2. Step 2: Convert to fraction form
    5,827.38/8,745.30 = 4,370.46/x
  3. Step 3: Cross multiply
    5,827.38x = 8,745.30 × 4,370.46
  4. Step 4: Simplify right side
    5,827.38x = 38,220,983.84
  5. Step 5: Solve for x
    x = 38,220,983.84/5,827.38
  6. Step 6: Final answer
    x = 6,558.86

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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.