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Finding the Fourth Proportional to 4,473, 6,172.50 and 2,584.52

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Solution

The fourth proportional to 4,473, 6,172.50 and 2,584.52 is: 3,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473 : 6,172.50 = 2,584.52 : x
  2. Step 2: Convert to fraction form
    4,473/6,172.50 = 2,584.52/x
  3. Step 3: Cross multiply
    4,473x = 6,172.50 × 2,584.52
  4. Step 4: Simplify right side
    4,473x = 15,952,949.70
  5. Step 5: Solve for x
    x = 15,952,949.70/4,473
  6. Step 6: Final answer
    x = 3,566.50

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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.