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Finding the Fourth Proportional to 2,838, 4,232.31 and 2,523.36

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Solution

The fourth proportional to 2,838, 4,232.31 and 2,523.36 is: 3,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838 : 4,232.31 = 2,523.36 : x
  2. Step 2: Convert to fraction form
    2,838/4,232.31 = 2,523.36/x
  3. Step 3: Cross multiply
    2,838x = 4,232.31 × 2,523.36
  4. Step 4: Simplify right side
    2,838x = 10,679,641.76
  5. Step 5: Solve for x
    x = 10,679,641.76/2,838
  6. Step 6: Final answer
    x = 3,763.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.