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Finding the Fourth Proportional to 4,202.76, 6,302.31 and 1,428.68

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Solution

The fourth proportional to 4,202.76, 6,302.31 and 1,428.68 is: 2,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.76 : 6,302.31 = 1,428.68 : x
  2. Step 2: Convert to fraction form
    4,202.76/6,302.31 = 1,428.68/x
  3. Step 3: Cross multiply
    4,202.76x = 6,302.31 × 1,428.68
  4. Step 4: Simplify right side
    4,202.76x = 9,004,014.50
  5. Step 5: Solve for x
    x = 9,004,014.50/4,202.76
  6. Step 6: Final answer
    x = 2,142.41

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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.