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Finding the Fourth Proportional to 4,202.30, 6,300.98 and 1,428.22

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Solution

The fourth proportional to 4,202.30, 6,300.98 and 1,428.22 is: 2,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.30 : 6,300.98 = 1,428.22 : x
  2. Step 2: Convert to fraction form
    4,202.30/6,300.98 = 1,428.22/x
  3. Step 3: Cross multiply
    4,202.30x = 6,300.98 × 1,428.22
  4. Step 4: Simplify right side
    4,202.30x = 8,999,185.66
  5. Step 5: Solve for x
    x = 8,999,185.66/4,202.30
  6. Step 6: Final answer
    x = 2,141.49

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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.