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Finding the Fourth Proportional to 3,577.66, 5,366.51 and 1,628.50

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Solution

The fourth proportional to 3,577.66, 5,366.51 and 1,628.50 is: 2,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.66 : 5,366.51 = 1,628.50 : x
  2. Step 2: Convert to fraction form
    3,577.66/5,366.51 = 1,628.50/x
  3. Step 3: Cross multiply
    3,577.66x = 5,366.51 × 1,628.50
  4. Step 4: Simplify right side
    3,577.66x = 8,739,361.54
  5. Step 5: Solve for x
    x = 8,739,361.54/3,577.66
  6. Step 6: Final answer
    x = 2,442.76

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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.