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Finding the Fourth Proportional to 4,472.94, 6,709.53 and 2,133.18

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Solution

The fourth proportional to 4,472.94, 6,709.53 and 2,133.18 is: 3,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.94 : 6,709.53 = 2,133.18 : x
  2. Step 2: Convert to fraction form
    4,472.94/6,709.53 = 2,133.18/x
  3. Step 3: Cross multiply
    4,472.94x = 6,709.53 × 2,133.18
  4. Step 4: Simplify right side
    4,472.94x = 14,312,635.21
  5. Step 5: Solve for x
    x = 14,312,635.21/4,472.94
  6. Step 6: Final answer
    x = 3,199.83

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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.