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Finding the Fourth Proportional to 5,693.77, 8,537.01 and 2,770.48

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Solution

The fourth proportional to 5,693.77, 8,537.01 and 2,770.48 is: 4,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.77 : 8,537.01 = 2,770.48 : x
  2. Step 2: Convert to fraction form
    5,693.77/8,537.01 = 2,770.48/x
  3. Step 3: Cross multiply
    5,693.77x = 8,537.01 × 2,770.48
  4. Step 4: Simplify right side
    5,693.77x = 23,651,615.46
  5. Step 5: Solve for x
    x = 23,651,615.46/5,693.77
  6. Step 6: Final answer
    x = 4,153.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.