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Finding the Fourth Proportional to 5,763.80, 8,648.10 and 2,842.14

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Solution

The fourth proportional to 5,763.80, 8,648.10 and 2,842.14 is: 4,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.80 : 8,648.10 = 2,842.14 : x
  2. Step 2: Convert to fraction form
    5,763.80/8,648.10 = 2,842.14/x
  3. Step 3: Cross multiply
    5,763.80x = 8,648.10 × 2,842.14
  4. Step 4: Simplify right side
    5,763.80x = 24,579,110.93
  5. Step 5: Solve for x
    x = 24,579,110.93/5,763.80
  6. Step 6: Final answer
    x = 4,264.39

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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.