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Finding the Fourth Proportional to 4,302.20, 6,443.70 and 4,206.20

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Solution

The fourth proportional to 4,302.20, 6,443.70 and 4,206.20 is: 6,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.20 : 6,443.70 = 4,206.20 : x
  2. Step 2: Convert to fraction form
    4,302.20/6,443.70 = 4,206.20/x
  3. Step 3: Cross multiply
    4,302.20x = 6,443.70 × 4,206.20
  4. Step 4: Simplify right side
    4,302.20x = 27,103,490.94
  5. Step 5: Solve for x
    x = 27,103,490.94/4,302.20
  6. Step 6: Final answer
    x = 6,299.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.