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Finding the Fourth Proportional to 5,780.76, 8,676.54 and 3,180.12

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Solution

The fourth proportional to 5,780.76, 8,676.54 and 3,180.12 is: 4,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.76 : 8,676.54 = 3,180.12 : x
  2. Step 2: Convert to fraction form
    5,780.76/8,676.54 = 3,180.12/x
  3. Step 3: Cross multiply
    5,780.76x = 8,676.54 × 3,180.12
  4. Step 4: Simplify right side
    5,780.76x = 27,592,438.38
  5. Step 5: Solve for x
    x = 27,592,438.38/5,780.76
  6. Step 6: Final answer
    x = 4,773.15

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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.