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Finding the Fourth Proportional to 4,780.56, 7,171.20 and 2,180.64

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Solution

The fourth proportional to 4,780.56, 7,171.20 and 2,180.64 is: 3,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.56 : 7,171.20 = 2,180.64 : x
  2. Step 2: Convert to fraction form
    4,780.56/7,171.20 = 2,180.64/x
  3. Step 3: Cross multiply
    4,780.56x = 7,171.20 × 2,180.64
  4. Step 4: Simplify right side
    4,780.56x = 15,637,805.57
  5. Step 5: Solve for x
    x = 15,637,805.57/4,780.56
  6. Step 6: Final answer
    x = 3,271.12

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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.