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Finding the Fourth Proportional to 5,783.96, 7,982.26 and 3,265.18

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Solution

The fourth proportional to 5,783.96, 7,982.26 and 3,265.18 is: 4,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.96 : 7,982.26 = 3,265.18 : x
  2. Step 2: Convert to fraction form
    5,783.96/7,982.26 = 3,265.18/x
  3. Step 3: Cross multiply
    5,783.96x = 7,982.26 × 3,265.18
  4. Step 4: Simplify right side
    5,783.96x = 26,063,515.71
  5. Step 5: Solve for x
    x = 26,063,515.71/5,783.96
  6. Step 6: Final answer
    x = 4,506.17

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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.