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Finding the Fourth Proportional to 3,674.40, 5,481.66 and 3,023.16

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Solution

The fourth proportional to 3,674.40, 5,481.66 and 3,023.16 is: 4,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.40 : 5,481.66 = 3,023.16 : x
  2. Step 2: Convert to fraction form
    3,674.40/5,481.66 = 3,023.16/x
  3. Step 3: Cross multiply
    3,674.40x = 5,481.66 × 3,023.16
  4. Step 4: Simplify right side
    3,674.40x = 16,571,935.25
  5. Step 5: Solve for x
    x = 16,571,935.25/3,674.40
  6. Step 6: Final answer
    x = 4,510.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.