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Finding the Fourth Proportional to 4,472, 6,709.37 and 2,134.98

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Solution

The fourth proportional to 4,472, 6,709.37 and 2,134.98 is: 3,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472 : 6,709.37 = 2,134.98 : x
  2. Step 2: Convert to fraction form
    4,472/6,709.37 = 2,134.98/x
  3. Step 3: Cross multiply
    4,472x = 6,709.37 × 2,134.98
  4. Step 4: Simplify right side
    4,472x = 14,324,370.76
  5. Step 5: Solve for x
    x = 14,324,370.76/4,472
  6. Step 6: Final answer
    x = 3,203.12

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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.