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Finding the Fourth Proportional to 5,644.64, 8,468.70 and 2,527.26

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Solution

The fourth proportional to 5,644.64, 8,468.70 and 2,527.26 is: 3,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.64 : 8,468.70 = 2,527.26 : x
  2. Step 2: Convert to fraction form
    5,644.64/8,468.70 = 2,527.26/x
  3. Step 3: Cross multiply
    5,644.64x = 8,468.70 × 2,527.26
  4. Step 4: Simplify right side
    5,644.64x = 21,402,606.76
  5. Step 5: Solve for x
    x = 21,402,606.76/5,644.64
  6. Step 6: Final answer
    x = 3,791.67

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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.