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Finding the Fourth Proportional to 4,852, 7,311.04 and 4,321.56

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Solution

The fourth proportional to 4,852, 7,311.04 and 4,321.56 is: 6,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852 : 7,311.04 = 4,321.56 : x
  2. Step 2: Convert to fraction form
    4,852/7,311.04 = 4,321.56/x
  3. Step 3: Cross multiply
    4,852x = 7,311.04 × 4,321.56
  4. Step 4: Simplify right side
    4,852x = 31,595,098.02
  5. Step 5: Solve for x
    x = 31,595,098.02/4,852
  6. Step 6: Final answer
    x = 6,511.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.