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Finding the Fourth Proportional to 3,980.16, 5,969.44 and 2,498.72

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Solution

The fourth proportional to 3,980.16, 5,969.44 and 2,498.72 is: 3,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.16 : 5,969.44 = 2,498.72 : x
  2. Step 2: Convert to fraction form
    3,980.16/5,969.44 = 2,498.72/x
  3. Step 3: Cross multiply
    3,980.16x = 5,969.44 × 2,498.72
  4. Step 4: Simplify right side
    3,980.16x = 14,915,959.12
  5. Step 5: Solve for x
    x = 14,915,959.12/3,980.16
  6. Step 6: Final answer
    x = 3,747.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.