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Finding the Fourth Proportional to 3,980.74, 5,491.78 and 2,564.19

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Solution

The fourth proportional to 3,980.74, 5,491.78 and 2,564.19 is: 3,537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.74 : 5,491.78 = 2,564.19 : x
  2. Step 2: Convert to fraction form
    3,980.74/5,491.78 = 2,564.19/x
  3. Step 3: Cross multiply
    3,980.74x = 5,491.78 × 2,564.19
  4. Step 4: Simplify right side
    3,980.74x = 14,081,967.36
  5. Step 5: Solve for x
    x = 14,081,967.36/3,980.74
  6. Step 6: Final answer
    x = 3,537.53

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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.