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Finding the Fourth Proportional to 5,204.16, 7,801.92 and 4,176

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Solution

The fourth proportional to 5,204.16, 7,801.92 and 4,176 is: 6,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.16 : 7,801.92 = 4,176 : x
  2. Step 2: Convert to fraction form
    5,204.16/7,801.92 = 4,176/x
  3. Step 3: Cross multiply
    5,204.16x = 7,801.92 × 4,176
  4. Step 4: Simplify right side
    5,204.16x = 32,580,817.92
  5. Step 5: Solve for x
    x = 32,580,817.92/5,204.16
  6. Step 6: Final answer
    x = 6,260.53

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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.