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Finding the Fourth Proportional to 5,490.36, 8,225.92 and 4,571.84

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Solution

The fourth proportional to 5,490.36, 8,225.92 and 4,571.84 is: 6,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.36 : 8,225.92 = 4,571.84 : x
  2. Step 2: Convert to fraction form
    5,490.36/8,225.92 = 4,571.84/x
  3. Step 3: Cross multiply
    5,490.36x = 8,225.92 × 4,571.84
  4. Step 4: Simplify right side
    5,490.36x = 37,607,590.09
  5. Step 5: Solve for x
    x = 37,607,590.09/5,490.36
  6. Step 6: Final answer
    x = 6,849.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.