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Finding the Fourth Proportional to 5,855.41, 8,780.82 and 2,566.20

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Solution

The fourth proportional to 5,855.41, 8,780.82 and 2,566.20 is: 3,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.41 : 8,780.82 = 2,566.20 : x
  2. Step 2: Convert to fraction form
    5,855.41/8,780.82 = 2,566.20/x
  3. Step 3: Cross multiply
    5,855.41x = 8,780.82 × 2,566.20
  4. Step 4: Simplify right side
    5,855.41x = 22,533,340.28
  5. Step 5: Solve for x
    x = 22,533,340.28/5,855.41
  6. Step 6: Final answer
    x = 3,848.29

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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.