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Finding the Fourth Proportional to 3,473.82, 5,209.64 and 1,008.81

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Solution

The fourth proportional to 3,473.82, 5,209.64 and 1,008.81 is: 1,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.82 : 5,209.64 = 1,008.81 : x
  2. Step 2: Convert to fraction form
    3,473.82/5,209.64 = 1,008.81/x
  3. Step 3: Cross multiply
    3,473.82x = 5,209.64 × 1,008.81
  4. Step 4: Simplify right side
    3,473.82x = 5,255,539.45
  5. Step 5: Solve for x
    x = 5,255,539.45/3,473.82
  6. Step 6: Final answer
    x = 1,512.90

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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.