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Finding the Fourth Proportional to 3,763.20, 5,643.36 and 1,166.16

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Solution

The fourth proportional to 3,763.20, 5,643.36 and 1,166.16 is: 1,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.20 : 5,643.36 = 1,166.16 : x
  2. Step 2: Convert to fraction form
    3,763.20/5,643.36 = 1,166.16/x
  3. Step 3: Cross multiply
    3,763.20x = 5,643.36 × 1,166.16
  4. Step 4: Simplify right side
    3,763.20x = 6,581,060.70
  5. Step 5: Solve for x
    x = 6,581,060.70/3,763.20
  6. Step 6: Final answer
    x = 1,748.79

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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.