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Finding the Fourth Proportional to 3,648.95, 5,471.68 and 1,980.45

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Solution

The fourth proportional to 3,648.95, 5,471.68 and 1,980.45 is: 2,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.95 : 5,471.68 = 1,980.45 : x
  2. Step 2: Convert to fraction form
    3,648.95/5,471.68 = 1,980.45/x
  3. Step 3: Cross multiply
    3,648.95x = 5,471.68 × 1,980.45
  4. Step 4: Simplify right side
    3,648.95x = 10,836,381.85
  5. Step 5: Solve for x
    x = 10,836,381.85/3,648.95
  6. Step 6: Final answer
    x = 2,969.73

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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.