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Finding the Fourth Proportional to 5,763.69, 8,646.30 and 1,866.78

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Solution

The fourth proportional to 5,763.69, 8,646.30 and 1,866.78 is: 2,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.69 : 8,646.30 = 1,866.78 : x
  2. Step 2: Convert to fraction form
    5,763.69/8,646.30 = 1,866.78/x
  3. Step 3: Cross multiply
    5,763.69x = 8,646.30 × 1,866.78
  4. Step 4: Simplify right side
    5,763.69x = 16,140,739.91
  5. Step 5: Solve for x
    x = 16,140,739.91/5,763.69
  6. Step 6: Final answer
    x = 2,800.42

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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.