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Finding the Fourth Proportional to 4,472.30, 6,171.60 and 2,703.60

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Solution

The fourth proportional to 4,472.30, 6,171.60 and 2,703.60 is: 3,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.30 : 6,171.60 = 2,703.60 : x
  2. Step 2: Convert to fraction form
    4,472.30/6,171.60 = 2,703.60/x
  3. Step 3: Cross multiply
    4,472.30x = 6,171.60 × 2,703.60
  4. Step 4: Simplify right side
    4,472.30x = 16,685,537.76
  5. Step 5: Solve for x
    x = 16,685,537.76/4,472.30
  6. Step 6: Final answer
    x = 3,730.86

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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.