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Finding the Fourth Proportional to 4,770.54, 7,157.85 and 2,580.80

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Solution

The fourth proportional to 4,770.54, 7,157.85 and 2,580.80 is: 3,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.54 : 7,157.85 = 2,580.80 : x
  2. Step 2: Convert to fraction form
    4,770.54/7,157.85 = 2,580.80/x
  3. Step 3: Cross multiply
    4,770.54x = 7,157.85 × 2,580.80
  4. Step 4: Simplify right side
    4,770.54x = 18,472,943.49
  5. Step 5: Solve for x
    x = 18,472,943.49/4,770.54
  6. Step 6: Final answer
    x = 3,872.30

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