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Finding the Fourth Proportional to 5,849.90, 8,776.38 and 2,563.64

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Solution

The fourth proportional to 5,849.90, 8,776.38 and 2,563.64 is: 3,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.90 : 8,776.38 = 2,563.64 : x
  2. Step 2: Convert to fraction form
    5,849.90/8,776.38 = 2,563.64/x
  3. Step 3: Cross multiply
    5,849.90x = 8,776.38 × 2,563.64
  4. Step 4: Simplify right side
    5,849.90x = 22,499,478.82
  5. Step 5: Solve for x
    x = 22,499,478.82/5,849.90
  6. Step 6: Final answer
    x = 3,846.13

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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.