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Finding the Fourth Proportional to 4,568.04, 6,841 and 2,614.32

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Solution

The fourth proportional to 4,568.04, 6,841 and 2,614.32 is: 3,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.04 : 6,841 = 2,614.32 : x
  2. Step 2: Convert to fraction form
    4,568.04/6,841 = 2,614.32/x
  3. Step 3: Cross multiply
    4,568.04x = 6,841 × 2,614.32
  4. Step 4: Simplify right side
    4,568.04x = 17,884,563.12
  5. Step 5: Solve for x
    x = 17,884,563.12/4,568.04
  6. Step 6: Final answer
    x = 3,915.15

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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.