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Finding the Fourth Proportional to 3,606.96, 4,980.42 and 2,823.24

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Solution

The fourth proportional to 3,606.96, 4,980.42 and 2,823.24 is: 3,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.96 : 4,980.42 = 2,823.24 : x
  2. Step 2: Convert to fraction form
    3,606.96/4,980.42 = 2,823.24/x
  3. Step 3: Cross multiply
    3,606.96x = 4,980.42 × 2,823.24
  4. Step 4: Simplify right side
    3,606.96x = 14,060,920.96
  5. Step 5: Solve for x
    x = 14,060,920.96/3,606.96
  6. Step 6: Final answer
    x = 3,898.27

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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.