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Finding the Fourth Proportional to 4,822.56, 7,233.84 and 1,900.08

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Solution

The fourth proportional to 4,822.56, 7,233.84 and 1,900.08 is: 2,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.56 : 7,233.84 = 1,900.08 : x
  2. Step 2: Convert to fraction form
    4,822.56/7,233.84 = 1,900.08/x
  3. Step 3: Cross multiply
    4,822.56x = 7,233.84 × 1,900.08
  4. Step 4: Simplify right side
    4,822.56x = 13,744,874.71
  5. Step 5: Solve for x
    x = 13,744,874.71/4,822.56
  6. Step 6: Final answer
    x = 2,850.12

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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.