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Finding the Fourth Proportional to 3,863.63, 5,795.21 and 1,888.50

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Solution

The fourth proportional to 3,863.63, 5,795.21 and 1,888.50 is: 2,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.63 : 5,795.21 = 1,888.50 : x
  2. Step 2: Convert to fraction form
    3,863.63/5,795.21 = 1,888.50/x
  3. Step 3: Cross multiply
    3,863.63x = 5,795.21 × 1,888.50
  4. Step 4: Simplify right side
    3,863.63x = 10,944,254.09
  5. Step 5: Solve for x
    x = 10,944,254.09/3,863.63
  6. Step 6: Final answer
    x = 2,832.64

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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.