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Finding the Fourth Proportional to 3,473.96, 5,213.08 and 1,831.70

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Solution

The fourth proportional to 3,473.96, 5,213.08 and 1,831.70 is: 2,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.96 : 5,213.08 = 1,831.70 : x
  2. Step 2: Convert to fraction form
    3,473.96/5,213.08 = 1,831.70/x
  3. Step 3: Cross multiply
    3,473.96x = 5,213.08 × 1,831.70
  4. Step 4: Simplify right side
    3,473.96x = 9,548,798.64
  5. Step 5: Solve for x
    x = 9,548,798.64/3,473.96
  6. Step 6: Final answer
    x = 2,748.68

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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.