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Finding the Fourth Proportional to 5,932.16, 8,898.24 and 2,852

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Solution

The fourth proportional to 5,932.16, 8,898.24 and 2,852 is: 4,278

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.16 : 8,898.24 = 2,852 : x
  2. Step 2: Convert to fraction form
    5,932.16/8,898.24 = 2,852/x
  3. Step 3: Cross multiply
    5,932.16x = 8,898.24 × 2,852
  4. Step 4: Simplify right side
    5,932.16x = 25,377,780.48
  5. Step 5: Solve for x
    x = 25,377,780.48/5,932.16
  6. Step 6: Final answer
    x = 4,278

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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.