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Finding the Fourth Proportional to 4,769.73, 7,182.59 and 4,160.70

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Solution

The fourth proportional to 4,769.73, 7,182.59 and 4,160.70 is: 6,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.73 : 7,182.59 = 4,160.70 : x
  2. Step 2: Convert to fraction form
    4,769.73/7,182.59 = 4,160.70/x
  3. Step 3: Cross multiply
    4,769.73x = 7,182.59 × 4,160.70
  4. Step 4: Simplify right side
    4,769.73x = 29,884,581.41
  5. Step 5: Solve for x
    x = 29,884,581.41/4,769.73
  6. Step 6: Final answer
    x = 6,265.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.