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Finding the Fourth Proportional to 5,761.30, 7,982.71 and 5,636.74

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Solution

The fourth proportional to 5,761.30, 7,982.71 and 5,636.74 is: 7,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.30 : 7,982.71 = 5,636.74 : x
  2. Step 2: Convert to fraction form
    5,761.30/7,982.71 = 5,636.74/x
  3. Step 3: Cross multiply
    5,761.30x = 7,982.71 × 5,636.74
  4. Step 4: Simplify right side
    5,761.30x = 44,996,460.77
  5. Step 5: Solve for x
    x = 44,996,460.77/5,761.30
  6. Step 6: Final answer
    x = 7,810.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.