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Finding the Fourth Proportional to 5,763.39, 8,642.91 and 1,866.75

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Solution

The fourth proportional to 5,763.39, 8,642.91 and 1,866.75 is: 2,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.39 : 8,642.91 = 1,866.75 : x
  2. Step 2: Convert to fraction form
    5,763.39/8,642.91 = 1,866.75/x
  3. Step 3: Cross multiply
    5,763.39x = 8,642.91 × 1,866.75
  4. Step 4: Simplify right side
    5,763.39x = 16,134,152.24
  5. Step 5: Solve for x
    x = 16,134,152.24/5,763.39
  6. Step 6: Final answer
    x = 2,799.42

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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.