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Finding the Fourth Proportional to 3,663.75, 5,056.16 and 2,007.75

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Solution

The fourth proportional to 3,663.75, 5,056.16 and 2,007.75 is: 2,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.75 : 5,056.16 = 2,007.75 : x
  2. Step 2: Convert to fraction form
    3,663.75/5,056.16 = 2,007.75/x
  3. Step 3: Cross multiply
    3,663.75x = 5,056.16 × 2,007.75
  4. Step 4: Simplify right side
    3,663.75x = 10,151,495.20
  5. Step 5: Solve for x
    x = 10,151,495.20/3,663.75
  6. Step 6: Final answer
    x = 2,770.79

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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.