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Finding the Fourth Proportional to 4,822.72, 7,234.01 and 1,535.79

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Solution

The fourth proportional to 4,822.72, 7,234.01 and 1,535.79 is: 2,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.72 : 7,234.01 = 1,535.79 : x
  2. Step 2: Convert to fraction form
    4,822.72/7,234.01 = 1,535.79/x
  3. Step 3: Cross multiply
    4,822.72x = 7,234.01 × 1,535.79
  4. Step 4: Simplify right side
    4,822.72x = 11,109,876.37
  5. Step 5: Solve for x
    x = 11,109,876.37/4,822.72
  6. Step 6: Final answer
    x = 2,303.65

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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.