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Finding the Fourth Proportional to 4,506.80, 6,763.82 and 2,859.24

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Solution

The fourth proportional to 4,506.80, 6,763.82 and 2,859.24 is: 4,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.80 : 6,763.82 = 2,859.24 : x
  2. Step 2: Convert to fraction form
    4,506.80/6,763.82 = 2,859.24/x
  3. Step 3: Cross multiply
    4,506.80x = 6,763.82 × 2,859.24
  4. Step 4: Simplify right side
    4,506.80x = 19,339,384.70
  5. Step 5: Solve for x
    x = 19,339,384.70/4,506.80
  6. Step 6: Final answer
    x = 4,291.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.