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Finding the Fourth Proportional to 3,943.06, 5,914.13 and 1,021.14

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Solution

The fourth proportional to 3,943.06, 5,914.13 and 1,021.14 is: 1,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.06 : 5,914.13 = 1,021.14 : x
  2. Step 2: Convert to fraction form
    3,943.06/5,914.13 = 1,021.14/x
  3. Step 3: Cross multiply
    3,943.06x = 5,914.13 × 1,021.14
  4. Step 4: Simplify right side
    3,943.06x = 6,039,154.71
  5. Step 5: Solve for x
    x = 6,039,154.71/3,943.06
  6. Step 6: Final answer
    x = 1,531.59

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Similar ratio
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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.