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Finding the Fourth Proportional to 4,833.60, 7,222.82 and 4,056

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Solution

The fourth proportional to 4,833.60, 7,222.82 and 4,056 is: 6,060.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.60 : 7,222.82 = 4,056 : x
  2. Step 2: Convert to fraction form
    4,833.60/7,222.82 = 4,056/x
  3. Step 3: Cross multiply
    4,833.60x = 7,222.82 × 4,056
  4. Step 4: Simplify right side
    4,833.60x = 29,295,757.92
  5. Step 5: Solve for x
    x = 29,295,757.92/4,833.60
  6. Step 6: Final answer
    x = 6,060.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.