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Finding the Fourth Proportional to 3,516.64, 5,276.76 and 1,761.88

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Solution

The fourth proportional to 3,516.64, 5,276.76 and 1,761.88 is: 2,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.64 : 5,276.76 = 1,761.88 : x
  2. Step 2: Convert to fraction form
    3,516.64/5,276.76 = 1,761.88/x
  3. Step 3: Cross multiply
    3,516.64x = 5,276.76 × 1,761.88
  4. Step 4: Simplify right side
    3,516.64x = 9,297,017.91
  5. Step 5: Solve for x
    x = 9,297,017.91/3,516.64
  6. Step 6: Final answer
    x = 2,643.72

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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.