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Finding the Fourth Proportional to 5,732.64, 8,597.61 and 1,836

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Solution

The fourth proportional to 5,732.64, 8,597.61 and 1,836 is: 2,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.64 : 8,597.61 = 1,836 : x
  2. Step 2: Convert to fraction form
    5,732.64/8,597.61 = 1,836/x
  3. Step 3: Cross multiply
    5,732.64x = 8,597.61 × 1,836
  4. Step 4: Simplify right side
    5,732.64x = 15,785,211.96
  5. Step 5: Solve for x
    x = 15,785,211.96/5,732.64
  6. Step 6: Final answer
    x = 2,753.57

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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.