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Finding the Fourth Proportional to 6,051.68, 8,338.88 and 4,163.84

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Solution

The fourth proportional to 6,051.68, 8,338.88 and 4,163.84 is: 5,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.68 : 8,338.88 = 4,163.84 : x
  2. Step 2: Convert to fraction form
    6,051.68/8,338.88 = 4,163.84/x
  3. Step 3: Cross multiply
    6,051.68x = 8,338.88 × 4,163.84
  4. Step 4: Simplify right side
    6,051.68x = 34,721,762.10
  5. Step 5: Solve for x
    x = 34,721,762.10/6,051.68
  6. Step 6: Final answer
    x = 5,737.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.