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Finding the Fourth Proportional to 5,056.54, 7,594.22 and 4,134.06

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Solution

The fourth proportional to 5,056.54, 7,594.22 and 4,134.06 is: 6,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.54 : 7,594.22 = 4,134.06 : x
  2. Step 2: Convert to fraction form
    5,056.54/7,594.22 = 4,134.06/x
  3. Step 3: Cross multiply
    5,056.54x = 7,594.22 × 4,134.06
  4. Step 4: Simplify right side
    5,056.54x = 31,394,961.13
  5. Step 5: Solve for x
    x = 31,394,961.13/5,056.54
  6. Step 6: Final answer
    x = 6,208.78

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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.