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Finding the Fourth Proportional to 4,407.46, 6,617.67 and 1,815.46

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Solution

The fourth proportional to 4,407.46, 6,617.67 and 1,815.46 is: 2,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.46 : 6,617.67 = 1,815.46 : x
  2. Step 2: Convert to fraction form
    4,407.46/6,617.67 = 1,815.46/x
  3. Step 3: Cross multiply
    4,407.46x = 6,617.67 × 1,815.46
  4. Step 4: Simplify right side
    4,407.46x = 12,014,115.18
  5. Step 5: Solve for x
    x = 12,014,115.18/4,407.46
  6. Step 6: Final answer
    x = 2,725.86

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Why These Related Problems?

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