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Finding the Fourth Proportional to 4,822.56, 7,234.16 and 1,902.91

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Solution

The fourth proportional to 4,822.56, 7,234.16 and 1,902.91 is: 2,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.56 : 7,234.16 = 1,902.91 : x
  2. Step 2: Convert to fraction form
    4,822.56/7,234.16 = 1,902.91/x
  3. Step 3: Cross multiply
    4,822.56x = 7,234.16 × 1,902.91
  4. Step 4: Simplify right side
    4,822.56x = 13,765,955.41
  5. Step 5: Solve for x
    x = 13,765,955.41/4,822.56
  6. Step 6: Final answer
    x = 2,854.49

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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.