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Finding the Fourth Proportional to 4,805.46, 6,592.46 and 4,760.10

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Solution

The fourth proportional to 4,805.46, 6,592.46 and 4,760.10 is: 6,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.46 : 6,592.46 = 4,760.10 : x
  2. Step 2: Convert to fraction form
    4,805.46/6,592.46 = 4,760.10/x
  3. Step 3: Cross multiply
    4,805.46x = 6,592.46 × 4,760.10
  4. Step 4: Simplify right side
    4,805.46x = 31,380,745.05
  5. Step 5: Solve for x
    x = 31,380,745.05/4,805.46
  6. Step 6: Final answer
    x = 6,530.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.