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Finding the Fourth Proportional to 4,571.42, 6,840.72 and 3,838.77

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Solution

The fourth proportional to 4,571.42, 6,840.72 and 3,838.77 is: 5,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.42 : 6,840.72 = 3,838.77 : x
  2. Step 2: Convert to fraction form
    4,571.42/6,840.72 = 3,838.77/x
  3. Step 3: Cross multiply
    4,571.42x = 6,840.72 × 3,838.77
  4. Step 4: Simplify right side
    4,571.42x = 26,259,950.71
  5. Step 5: Solve for x
    x = 26,259,950.71/4,571.42
  6. Step 6: Final answer
    x = 5,744.38

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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.