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Finding the Fourth Proportional to 3,604.10, 5,406.14 and 1,007.03

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Solution

The fourth proportional to 3,604.10, 5,406.14 and 1,007.03 is: 1,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.10 : 5,406.14 = 1,007.03 : x
  2. Step 2: Convert to fraction form
    3,604.10/5,406.14 = 1,007.03/x
  3. Step 3: Cross multiply
    3,604.10x = 5,406.14 × 1,007.03
  4. Step 4: Simplify right side
    3,604.10x = 5,444,145.16
  5. Step 5: Solve for x
    x = 5,444,145.16/3,604.10
  6. Step 6: Final answer
    x = 1,510.54

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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.