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Finding the Fourth Proportional to 5,681.65, 8,525.27 and 2,563.81

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Solution

The fourth proportional to 5,681.65, 8,525.27 and 2,563.81 is: 3,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.65 : 8,525.27 = 2,563.81 : x
  2. Step 2: Convert to fraction form
    5,681.65/8,525.27 = 2,563.81/x
  3. Step 3: Cross multiply
    5,681.65x = 8,525.27 × 2,563.81
  4. Step 4: Simplify right side
    5,681.65x = 21,857,172.48
  5. Step 5: Solve for x
    x = 21,857,172.48/5,681.65
  6. Step 6: Final answer
    x = 3,846.98

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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.