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Finding the Fourth Proportional to 3,980.76, 5,491.98 and 2,583

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Solution

The fourth proportional to 3,980.76, 5,491.98 and 2,583 is: 3,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.76 : 5,491.98 = 2,583 : x
  2. Step 2: Convert to fraction form
    3,980.76/5,491.98 = 2,583/x
  3. Step 3: Cross multiply
    3,980.76x = 5,491.98 × 2,583
  4. Step 4: Simplify right side
    3,980.76x = 14,185,784.34
  5. Step 5: Solve for x
    x = 14,185,784.34/3,980.76
  6. Step 6: Final answer
    x = 3,563.59

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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.