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Finding the Fourth Proportional to 5,763.42, 7,952.99 and 3,405.11

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Solution

The fourth proportional to 5,763.42, 7,952.99 and 3,405.11 is: 4,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.42 : 7,952.99 = 3,405.11 : x
  2. Step 2: Convert to fraction form
    5,763.42/7,952.99 = 3,405.11/x
  3. Step 3: Cross multiply
    5,763.42x = 7,952.99 × 3,405.11
  4. Step 4: Simplify right side
    5,763.42x = 27,080,748.99
  5. Step 5: Solve for x
    x = 27,080,748.99/5,763.42
  6. Step 6: Final answer
    x = 4,698.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.