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Finding the Fourth Proportional to 3,752.04, 5,630.88 and 1,414.36

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Solution

The fourth proportional to 3,752.04, 5,630.88 and 1,414.36 is: 2,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.04 : 5,630.88 = 1,414.36 : x
  2. Step 2: Convert to fraction form
    3,752.04/5,630.88 = 1,414.36/x
  3. Step 3: Cross multiply
    3,752.04x = 5,630.88 × 1,414.36
  4. Step 4: Simplify right side
    3,752.04x = 7,964,091.44
  5. Step 5: Solve for x
    x = 7,964,091.44/3,752.04
  6. Step 6: Final answer
    x = 2,122.60

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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.