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Finding the Fourth Proportional to 3,516.74, 4,826.30 and 3,184.44

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Solution

The fourth proportional to 3,516.74, 4,826.30 and 3,184.44 is: 4,370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.74 : 4,826.30 = 3,184.44 : x
  2. Step 2: Convert to fraction form
    3,516.74/4,826.30 = 3,184.44/x
  3. Step 3: Cross multiply
    3,516.74x = 4,826.30 × 3,184.44
  4. Step 4: Simplify right side
    3,516.74x = 15,369,070.73
  5. Step 5: Solve for x
    x = 15,369,070.73/3,516.74
  6. Step 6: Final answer
    x = 4,370.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.