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Finding the Fourth Proportional to 4,882, 7,319.92 and 4,141.87

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Solution

The fourth proportional to 4,882, 7,319.92 and 4,141.87 is: 6,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882 : 7,319.92 = 4,141.87 : x
  2. Step 2: Convert to fraction form
    4,882/7,319.92 = 4,141.87/x
  3. Step 3: Cross multiply
    4,882x = 7,319.92 × 4,141.87
  4. Step 4: Simplify right side
    4,882x = 30,318,157.05
  5. Step 5: Solve for x
    x = 30,318,157.05/4,882
  6. Step 6: Final answer
    x = 6,210.19

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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.