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Finding the Fourth Proportional to 3,604.95, 5,407.56 and 1,007.82

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Solution

The fourth proportional to 3,604.95, 5,407.56 and 1,007.82 is: 1,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.95 : 5,407.56 = 1,007.82 : x
  2. Step 2: Convert to fraction form
    3,604.95/5,407.56 = 1,007.82/x
  3. Step 3: Cross multiply
    3,604.95x = 5,407.56 × 1,007.82
  4. Step 4: Simplify right side
    3,604.95x = 5,449,847.12
  5. Step 5: Solve for x
    x = 5,449,847.12/3,604.95
  6. Step 6: Final answer
    x = 1,511.77

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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.