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Finding the Fourth Proportional to 5,570.82, 7,687.44 and 3,802.86

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Solution

The fourth proportional to 5,570.82, 7,687.44 and 3,802.86 is: 5,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.82 : 7,687.44 = 3,802.86 : x
  2. Step 2: Convert to fraction form
    5,570.82/7,687.44 = 3,802.86/x
  3. Step 3: Cross multiply
    5,570.82x = 7,687.44 × 3,802.86
  4. Step 4: Simplify right side
    5,570.82x = 29,234,258.08
  5. Step 5: Solve for x
    x = 29,234,258.08/5,570.82
  6. Step 6: Final answer
    x = 5,247.75

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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.