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Finding the Fourth Proportional to 3,662.74, 5,049.68 and 3,030.94

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Solution

The fourth proportional to 3,662.74, 5,049.68 and 3,030.94 is: 4,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.74 : 5,049.68 = 3,030.94 : x
  2. Step 2: Convert to fraction form
    3,662.74/5,049.68 = 3,030.94/x
  3. Step 3: Cross multiply
    3,662.74x = 5,049.68 × 3,030.94
  4. Step 4: Simplify right side
    3,662.74x = 15,305,277.10
  5. Step 5: Solve for x
    x = 15,305,277.10/3,662.74
  6. Step 6: Final answer
    x = 4,178.64

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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.