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Finding the Fourth Proportional to 5,928.46, 8,889.95 and 3,464.03

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Solution

The fourth proportional to 5,928.46, 8,889.95 and 3,464.03 is: 5,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.46 : 8,889.95 = 3,464.03 : x
  2. Step 2: Convert to fraction form
    5,928.46/8,889.95 = 3,464.03/x
  3. Step 3: Cross multiply
    5,928.46x = 8,889.95 × 3,464.03
  4. Step 4: Simplify right side
    5,928.46x = 30,795,084.38
  5. Step 5: Solve for x
    x = 30,795,084.38/5,928.46
  6. Step 6: Final answer
    x = 5,194.45

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Why These Related Problems?

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