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Finding the Fourth Proportional to 4,822.74, 7,234.29 and 1,535.49

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Solution

The fourth proportional to 4,822.74, 7,234.29 and 1,535.49 is: 2,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.74 : 7,234.29 = 1,535.49 : x
  2. Step 2: Convert to fraction form
    4,822.74/7,234.29 = 1,535.49/x
  3. Step 3: Cross multiply
    4,822.74x = 7,234.29 × 1,535.49
  4. Step 4: Simplify right side
    4,822.74x = 11,108,179.95
  5. Step 5: Solve for x
    x = 11,108,179.95/4,822.74
  6. Step 6: Final answer
    x = 2,303.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.