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Finding the Fourth Proportional to 3,563.39, 5,346 and 2,876.31

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Solution

The fourth proportional to 3,563.39, 5,346 and 2,876.31 is: 4,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.39 : 5,346 = 2,876.31 : x
  2. Step 2: Convert to fraction form
    3,563.39/5,346 = 2,876.31/x
  3. Step 3: Cross multiply
    3,563.39x = 5,346 × 2,876.31
  4. Step 4: Simplify right side
    3,563.39x = 15,376,753.26
  5. Step 5: Solve for x
    x = 15,376,753.26/3,563.39
  6. Step 6: Final answer
    x = 4,315.20

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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.