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Finding the Fourth Proportional to 3,775.63, 5,669.84 and 2,461.63

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Solution

The fourth proportional to 3,775.63, 5,669.84 and 2,461.63 is: 3,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.63 : 5,669.84 = 2,461.63 : x
  2. Step 2: Convert to fraction form
    3,775.63/5,669.84 = 2,461.63/x
  3. Step 3: Cross multiply
    3,775.63x = 5,669.84 × 2,461.63
  4. Step 4: Simplify right side
    3,775.63x = 13,957,007.58
  5. Step 5: Solve for x
    x = 13,957,007.58/3,775.63
  6. Step 6: Final answer
    x = 3,696.61

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1.5x scale

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.