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Finding the Fourth Proportional to 4,490.25, 6,736.74 and 2,300.53

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Solution

The fourth proportional to 4,490.25, 6,736.74 and 2,300.53 is: 3,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.25 : 6,736.74 = 2,300.53 : x
  2. Step 2: Convert to fraction form
    4,490.25/6,736.74 = 2,300.53/x
  3. Step 3: Cross multiply
    4,490.25x = 6,736.74 × 2,300.53
  4. Step 4: Simplify right side
    4,490.25x = 15,498,072.47
  5. Step 5: Solve for x
    x = 15,498,072.47/4,490.25
  6. Step 6: Final answer
    x = 3,451.50

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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.