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Finding the Fourth Proportional to 3,980.81, 5,491.13 and 2,564.03

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Solution

The fourth proportional to 3,980.81, 5,491.13 and 2,564.03 is: 3,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.81 : 5,491.13 = 2,564.03 : x
  2. Step 2: Convert to fraction form
    3,980.81/5,491.13 = 2,564.03/x
  3. Step 3: Cross multiply
    3,980.81x = 5,491.13 × 2,564.03
  4. Step 4: Simplify right side
    3,980.81x = 14,079,381.78
  5. Step 5: Solve for x
    x = 14,079,381.78/3,980.81
  6. Step 6: Final answer
    x = 3,536.82

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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.