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Finding the Fourth Proportional to 3,203.50, 4,806.08 and 2,854.50

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Solution

The fourth proportional to 3,203.50, 4,806.08 and 2,854.50 is: 4,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.50 : 4,806.08 = 2,854.50 : x
  2. Step 2: Convert to fraction form
    3,203.50/4,806.08 = 2,854.50/x
  3. Step 3: Cross multiply
    3,203.50x = 4,806.08 × 2,854.50
  4. Step 4: Simplify right side
    3,203.50x = 13,718,955.36
  5. Step 5: Solve for x
    x = 13,718,955.36/3,203.50
  6. Step 6: Final answer
    x = 4,282.49

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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.