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Finding the Fourth Proportional to 3,489.16, 5,233.14 and 1,733.59

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Solution

The fourth proportional to 3,489.16, 5,233.14 and 1,733.59 is: 2,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.16 : 5,233.14 = 1,733.59 : x
  2. Step 2: Convert to fraction form
    3,489.16/5,233.14 = 1,733.59/x
  3. Step 3: Cross multiply
    3,489.16x = 5,233.14 × 1,733.59
  4. Step 4: Simplify right side
    3,489.16x = 9,072,119.17
  5. Step 5: Solve for x
    x = 9,072,119.17/3,489.16
  6. Step 6: Final answer
    x = 2,600.09

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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.