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Finding the Fourth Proportional to 3,980.18, 5,970.47 and 1,480.82

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Solution

The fourth proportional to 3,980.18, 5,970.47 and 1,480.82 is: 2,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.18 : 5,970.47 = 1,480.82 : x
  2. Step 2: Convert to fraction form
    3,980.18/5,970.47 = 1,480.82/x
  3. Step 3: Cross multiply
    3,980.18x = 5,970.47 × 1,480.82
  4. Step 4: Simplify right side
    3,980.18x = 8,841,154.13
  5. Step 5: Solve for x
    x = 8,841,154.13/3,980.18
  6. Step 6: Final answer
    x = 2,221.30

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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.