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Finding the Fourth Proportional to 4,563.51, 6,294.51 and 2,796

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Solution

The fourth proportional to 4,563.51, 6,294.51 and 2,796 is: 3,856.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.51 : 6,294.51 = 2,796 : x
  2. Step 2: Convert to fraction form
    4,563.51/6,294.51 = 2,796/x
  3. Step 3: Cross multiply
    4,563.51x = 6,294.51 × 2,796
  4. Step 4: Simplify right side
    4,563.51x = 17,599,449.96
  5. Step 5: Solve for x
    x = 17,599,449.96/4,563.51
  6. Step 6: Final answer
    x = 3,856.56

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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.