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Finding the Fourth Proportional to 4,152, 6,227.34 and 1,686.20

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Solution

The fourth proportional to 4,152, 6,227.34 and 1,686.20 is: 2,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152 : 6,227.34 = 1,686.20 : x
  2. Step 2: Convert to fraction form
    4,152/6,227.34 = 1,686.20/x
  3. Step 3: Cross multiply
    4,152x = 6,227.34 × 1,686.20
  4. Step 4: Simplify right side
    4,152x = 10,500,540.71
  5. Step 5: Solve for x
    x = 10,500,540.71/4,152
  6. Step 6: Final answer
    x = 2,529.03

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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.