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Finding the Fourth Proportional to 4,007.04, 6,009.36 and 1,698

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Solution

The fourth proportional to 4,007.04, 6,009.36 and 1,698 is: 2,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.04 : 6,009.36 = 1,698 : x
  2. Step 2: Convert to fraction form
    4,007.04/6,009.36 = 1,698/x
  3. Step 3: Cross multiply
    4,007.04x = 6,009.36 × 1,698
  4. Step 4: Simplify right side
    4,007.04x = 10,203,893.28
  5. Step 5: Solve for x
    x = 10,203,893.28/4,007.04
  6. Step 6: Final answer
    x = 2,546.49

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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.