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Finding the Fourth Proportional to 5,763.85, 8,631.14 and 3,294.36

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Solution

The fourth proportional to 5,763.85, 8,631.14 and 3,294.36 is: 4,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.85 : 8,631.14 = 3,294.36 : x
  2. Step 2: Convert to fraction form
    5,763.85/8,631.14 = 3,294.36/x
  3. Step 3: Cross multiply
    5,763.85x = 8,631.14 × 3,294.36
  4. Step 4: Simplify right side
    5,763.85x = 28,434,082.37
  5. Step 5: Solve for x
    x = 28,434,082.37/5,763.85
  6. Step 6: Final answer
    x = 4,933.18

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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.