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Finding the Fourth Proportional to 5,666.45, 7,817.46 and 3,275.99

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Solution

The fourth proportional to 5,666.45, 7,817.46 and 3,275.99 is: 4,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.45 : 7,817.46 = 3,275.99 : x
  2. Step 2: Convert to fraction form
    5,666.45/7,817.46 = 3,275.99/x
  3. Step 3: Cross multiply
    5,666.45x = 7,817.46 × 3,275.99
  4. Step 4: Simplify right side
    5,666.45x = 25,609,889.89
  5. Step 5: Solve for x
    x = 25,609,889.89/5,666.45
  6. Step 6: Final answer
    x = 4,519.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.