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Finding the Fourth Proportional to 4,548.76, 6,813.54 and 4,496.92

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Solution

The fourth proportional to 4,548.76, 6,813.54 and 4,496.92 is: 6,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.76 : 6,813.54 = 4,496.92 : x
  2. Step 2: Convert to fraction form
    4,548.76/6,813.54 = 4,496.92/x
  3. Step 3: Cross multiply
    4,548.76x = 6,813.54 × 4,496.92
  4. Step 4: Simplify right side
    4,548.76x = 30,639,944.30
  5. Step 5: Solve for x
    x = 30,639,944.30/4,548.76
  6. Step 6: Final answer
    x = 6,735.89

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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.