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Finding the Fourth Proportional to 5,415.68, 7,474.08 and 4,305.78

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Solution

The fourth proportional to 5,415.68, 7,474.08 and 4,305.78 is: 5,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.68 : 7,474.08 = 4,305.78 : x
  2. Step 2: Convert to fraction form
    5,415.68/7,474.08 = 4,305.78/x
  3. Step 3: Cross multiply
    5,415.68x = 7,474.08 × 4,305.78
  4. Step 4: Simplify right side
    5,415.68x = 32,181,722.65
  5. Step 5: Solve for x
    x = 32,181,722.65/5,415.68
  6. Step 6: Final answer
    x = 5,942.32

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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.