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Finding the Fourth Proportional to 5,709.42, 8,563.43 and 1,549.17

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Solution

The fourth proportional to 5,709.42, 8,563.43 and 1,549.17 is: 2,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.42 : 8,563.43 = 1,549.17 : x
  2. Step 2: Convert to fraction form
    5,709.42/8,563.43 = 1,549.17/x
  3. Step 3: Cross multiply
    5,709.42x = 8,563.43 × 1,549.17
  4. Step 4: Simplify right side
    5,709.42x = 13,266,208.85
  5. Step 5: Solve for x
    x = 13,266,208.85/5,709.42
  6. Step 6: Final answer
    x = 2,323.57

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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.