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Finding the Fourth Proportional to 3,617.46, 5,427 and 1,973.16

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Solution

The fourth proportional to 3,617.46, 5,427 and 1,973.16 is: 2,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.46 : 5,427 = 1,973.16 : x
  2. Step 2: Convert to fraction form
    3,617.46/5,427 = 1,973.16/x
  3. Step 3: Cross multiply
    3,617.46x = 5,427 × 1,973.16
  4. Step 4: Simplify right side
    3,617.46x = 10,708,339.32
  5. Step 5: Solve for x
    x = 10,708,339.32/3,617.46
  6. Step 6: Final answer
    x = 2,960.18

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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.