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Finding the Fourth Proportional to 3,630, 5,009.40 and 2,232.48

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Solution

The fourth proportional to 3,630, 5,009.40 and 2,232.48 is: 3,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630 : 5,009.40 = 2,232.48 : x
  2. Step 2: Convert to fraction form
    3,630/5,009.40 = 2,232.48/x
  3. Step 3: Cross multiply
    3,630x = 5,009.40 × 2,232.48
  4. Step 4: Simplify right side
    3,630x = 11,183,385.31
  5. Step 5: Solve for x
    x = 11,183,385.31/3,630
  6. Step 6: Final answer
    x = 3,080.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.