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Finding the Fourth Proportional to 4,701.96, 6,484.23 and 2,813.24

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Solution

The fourth proportional to 4,701.96, 6,484.23 and 2,813.24 is: 3,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.96 : 6,484.23 = 2,813.24 : x
  2. Step 2: Convert to fraction form
    4,701.96/6,484.23 = 2,813.24/x
  3. Step 3: Cross multiply
    4,701.96x = 6,484.23 × 2,813.24
  4. Step 4: Simplify right side
    4,701.96x = 18,241,695.21
  5. Step 5: Solve for x
    x = 18,241,695.21/4,701.96
  6. Step 6: Final answer
    x = 3,879.59

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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.