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Finding the Fourth Proportional to 4,472.94, 6,173.28 and 2,584.14

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Solution

The fourth proportional to 4,472.94, 6,173.28 and 2,584.14 is: 3,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.94 : 6,173.28 = 2,584.14 : x
  2. Step 2: Convert to fraction form
    4,472.94/6,173.28 = 2,584.14/x
  3. Step 3: Cross multiply
    4,472.94x = 6,173.28 × 2,584.14
  4. Step 4: Simplify right side
    4,472.94x = 15,952,619.78
  5. Step 5: Solve for x
    x = 15,952,619.78/4,472.94
  6. Step 6: Final answer
    x = 3,566.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.