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Finding the Fourth Proportional to 5,124.86, 7,648.09 and 4,571.22

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Solution

The fourth proportional to 5,124.86, 7,648.09 and 4,571.22 is: 6,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.86 : 7,648.09 = 4,571.22 : x
  2. Step 2: Convert to fraction form
    5,124.86/7,648.09 = 4,571.22/x
  3. Step 3: Cross multiply
    5,124.86x = 7,648.09 × 4,571.22
  4. Step 4: Simplify right side
    5,124.86x = 34,961,101.97
  5. Step 5: Solve for x
    x = 34,961,101.97/5,124.86
  6. Step 6: Final answer
    x = 6,821.86

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