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Finding the Fourth Proportional to 4,209.52, 5,804.58 and 2,866

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Solution

The fourth proportional to 4,209.52, 5,804.58 and 2,866 is: 3,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.52 : 5,804.58 = 2,866 : x
  2. Step 2: Convert to fraction form
    4,209.52/5,804.58 = 2,866/x
  3. Step 3: Cross multiply
    4,209.52x = 5,804.58 × 2,866
  4. Step 4: Simplify right side
    4,209.52x = 16,635,926.28
  5. Step 5: Solve for x
    x = 16,635,926.28/4,209.52
  6. Step 6: Final answer
    x = 3,951.98

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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.