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Finding the Fourth Proportional to 4,822.96, 7,234.88 and 1,900.59

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Solution

The fourth proportional to 4,822.96, 7,234.88 and 1,900.59 is: 2,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.96 : 7,234.88 = 1,900.59 : x
  2. Step 2: Convert to fraction form
    4,822.96/7,234.88 = 1,900.59/x
  3. Step 3: Cross multiply
    4,822.96x = 7,234.88 × 1,900.59
  4. Step 4: Simplify right side
    4,822.96x = 13,750,531.08
  5. Step 5: Solve for x
    x = 13,750,531.08/4,822.96
  6. Step 6: Final answer
    x = 2,851.06

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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.