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Finding the Fourth Proportional to 3,604.26, 5,406.42 and 1,007.22

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Solution

The fourth proportional to 3,604.26, 5,406.42 and 1,007.22 is: 1,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.26 : 5,406.42 = 1,007.22 : x
  2. Step 2: Convert to fraction form
    3,604.26/5,406.42 = 1,007.22/x
  3. Step 3: Cross multiply
    3,604.26x = 5,406.42 × 1,007.22
  4. Step 4: Simplify right side
    3,604.26x = 5,445,454.35
  5. Step 5: Solve for x
    x = 5,445,454.35/3,604.26
  6. Step 6: Final answer
    x = 1,510.84

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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.