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Finding the Fourth Proportional to 3,643.94, 5,457.67 and 2,987.82

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Solution

The fourth proportional to 3,643.94, 5,457.67 and 2,987.82 is: 4,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.94 : 5,457.67 = 2,987.82 : x
  2. Step 2: Convert to fraction form
    3,643.94/5,457.67 = 2,987.82/x
  3. Step 3: Cross multiply
    3,643.94x = 5,457.67 × 2,987.82
  4. Step 4: Simplify right side
    3,643.94x = 16,306,535.58
  5. Step 5: Solve for x
    x = 16,306,535.58/3,643.94
  6. Step 6: Final answer
    x = 4,474.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.