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Finding the Fourth Proportional to 3,602.76, 5,406.28 and 1,550.76

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Solution

The fourth proportional to 3,602.76, 5,406.28 and 1,550.76 is: 2,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.76 : 5,406.28 = 1,550.76 : x
  2. Step 2: Convert to fraction form
    3,602.76/5,406.28 = 1,550.76/x
  3. Step 3: Cross multiply
    3,602.76x = 5,406.28 × 1,550.76
  4. Step 4: Simplify right side
    3,602.76x = 8,383,842.77
  5. Step 5: Solve for x
    x = 8,383,842.77/3,602.76
  6. Step 6: Final answer
    x = 2,327.06

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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.