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Finding the Fourth Proportional to 4,715.72, 6,499.92 and 3,769.84

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Solution

The fourth proportional to 4,715.72, 6,499.92 and 3,769.84 is: 5,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.72 : 6,499.92 = 3,769.84 : x
  2. Step 2: Convert to fraction form
    4,715.72/6,499.92 = 3,769.84/x
  3. Step 3: Cross multiply
    4,715.72x = 6,499.92 × 3,769.84
  4. Step 4: Simplify right side
    4,715.72x = 24,503,658.41
  5. Step 5: Solve for x
    x = 24,503,658.41/4,715.72
  6. Step 6: Final answer
    x = 5,196.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.