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Finding the Fourth Proportional to 4,787.23, 7,182.21 and 2,012.47

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Solution

The fourth proportional to 4,787.23, 7,182.21 and 2,012.47 is: 3,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.23 : 7,182.21 = 2,012.47 : x
  2. Step 2: Convert to fraction form
    4,787.23/7,182.21 = 2,012.47/x
  3. Step 3: Cross multiply
    4,787.23x = 7,182.21 × 2,012.47
  4. Step 4: Simplify right side
    4,787.23x = 14,453,982.16
  5. Step 5: Solve for x
    x = 14,453,982.16/4,787.23
  6. Step 6: Final answer
    x = 3,019.28

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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.