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Finding the Fourth Proportional to 5,735.76, 8,589.06 and 3,782.04

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Solution

The fourth proportional to 5,735.76, 8,589.06 and 3,782.04 is: 5,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.76 : 8,589.06 = 3,782.04 : x
  2. Step 2: Convert to fraction form
    5,735.76/8,589.06 = 3,782.04/x
  3. Step 3: Cross multiply
    5,735.76x = 8,589.06 × 3,782.04
  4. Step 4: Simplify right side
    5,735.76x = 32,484,168.48
  5. Step 5: Solve for x
    x = 32,484,168.48/5,735.76
  6. Step 6: Final answer
    x = 5,663.45

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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.