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Finding the Fourth Proportional to 4,399.92, 6,602.31 and 1,802.25

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Solution

The fourth proportional to 4,399.92, 6,602.31 and 1,802.25 is: 2,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399.92 : 6,602.31 = 1,802.25 : x
  2. Step 2: Convert to fraction form
    4,399.92/6,602.31 = 1,802.25/x
  3. Step 3: Cross multiply
    4,399.92x = 6,602.31 × 1,802.25
  4. Step 4: Simplify right side
    4,399.92x = 11,899,013.20
  5. Step 5: Solve for x
    x = 11,899,013.20/4,399.92
  6. Step 6: Final answer
    x = 2,704.37

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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.