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Finding the Fourth Proportional to 5,294.46, 7,928.46 and 3,736.02

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Solution

The fourth proportional to 5,294.46, 7,928.46 and 3,736.02 is: 5,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.46 : 7,928.46 = 3,736.02 : x
  2. Step 2: Convert to fraction form
    5,294.46/7,928.46 = 3,736.02/x
  3. Step 3: Cross multiply
    5,294.46x = 7,928.46 × 3,736.02
  4. Step 4: Simplify right side
    5,294.46x = 29,620,885.13
  5. Step 5: Solve for x
    x = 29,620,885.13/5,294.46
  6. Step 6: Final answer
    x = 5,594.69

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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.