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Finding the Fourth Proportional to 3,980.47, 5,491.47 and 2,301.56

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Solution

The fourth proportional to 3,980.47, 5,491.47 and 2,301.56 is: 3,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.47 : 5,491.47 = 2,301.56 : x
  2. Step 2: Convert to fraction form
    3,980.47/5,491.47 = 2,301.56/x
  3. Step 3: Cross multiply
    3,980.47x = 5,491.47 × 2,301.56
  4. Step 4: Simplify right side
    3,980.47x = 12,638,947.69
  5. Step 5: Solve for x
    x = 12,638,947.69/3,980.47
  6. Step 6: Final answer
    x = 3,175.24

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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.