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Finding the Fourth Proportional to 5,780.89, 8,665.84 and 1,882.59

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Solution

The fourth proportional to 5,780.89, 8,665.84 and 1,882.59 is: 2,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.89 : 8,665.84 = 1,882.59 : x
  2. Step 2: Convert to fraction form
    5,780.89/8,665.84 = 1,882.59/x
  3. Step 3: Cross multiply
    5,780.89x = 8,665.84 × 1,882.59
  4. Step 4: Simplify right side
    5,780.89x = 16,314,223.73
  5. Step 5: Solve for x
    x = 16,314,223.73/5,780.89
  6. Step 6: Final answer
    x = 2,822.10

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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.