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Finding the Fourth Proportional to 3,643.17, 5,463.94 and 1,451.31

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Solution

The fourth proportional to 3,643.17, 5,463.94 and 1,451.31 is: 2,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.17 : 5,463.94 = 1,451.31 : x
  2. Step 2: Convert to fraction form
    3,643.17/5,463.94 = 1,451.31/x
  3. Step 3: Cross multiply
    3,643.17x = 5,463.94 × 1,451.31
  4. Step 4: Simplify right side
    3,643.17x = 7,929,870.76
  5. Step 5: Solve for x
    x = 7,929,870.76/3,643.17
  6. Step 6: Final answer
    x = 2,176.64

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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.