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Finding the Fourth Proportional to 3,310.71, 4,568.52 and 1,894.43

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Solution

The fourth proportional to 3,310.71, 4,568.52 and 1,894.43 is: 2,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.71 : 4,568.52 = 1,894.43 : x
  2. Step 2: Convert to fraction form
    3,310.71/4,568.52 = 1,894.43/x
  3. Step 3: Cross multiply
    3,310.71x = 4,568.52 × 1,894.43
  4. Step 4: Simplify right side
    3,310.71x = 8,654,741.34
  5. Step 5: Solve for x
    x = 8,654,741.34/3,310.71
  6. Step 6: Final answer
    x = 2,614.16

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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.