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Finding the Fourth Proportional to 3,662.44, 5,056.80 and 3,307.66

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Solution

The fourth proportional to 3,662.44, 5,056.80 and 3,307.66 is: 4,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.44 : 5,056.80 = 3,307.66 : x
  2. Step 2: Convert to fraction form
    3,662.44/5,056.80 = 3,307.66/x
  3. Step 3: Cross multiply
    3,662.44x = 5,056.80 × 3,307.66
  4. Step 4: Simplify right side
    3,662.44x = 16,726,175.09
  5. Step 5: Solve for x
    x = 16,726,175.09/3,662.44
  6. Step 6: Final answer
    x = 4,566.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.