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Finding the Fourth Proportional to 5,785.99, 7,987.44 and 3,662.55

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Solution

The fourth proportional to 5,785.99, 7,987.44 and 3,662.55 is: 5,056.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.99 : 7,987.44 = 3,662.55 : x
  2. Step 2: Convert to fraction form
    5,785.99/7,987.44 = 3,662.55/x
  3. Step 3: Cross multiply
    5,785.99x = 7,987.44 × 3,662.55
  4. Step 4: Simplify right side
    5,785.99x = 29,254,414.90
  5. Step 5: Solve for x
    x = 29,254,414.90/5,785.99
  6. Step 6: Final answer
    x = 5,056.07

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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.