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Finding the Fourth Proportional to 5,931.74, 8,189.62 and 3,808.20

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Solution

The fourth proportional to 5,931.74, 8,189.62 and 3,808.20 is: 5,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.74 : 8,189.62 = 3,808.20 : x
  2. Step 2: Convert to fraction form
    5,931.74/8,189.62 = 3,808.20/x
  3. Step 3: Cross multiply
    5,931.74x = 8,189.62 × 3,808.20
  4. Step 4: Simplify right side
    5,931.74x = 31,187,710.88
  5. Step 5: Solve for x
    x = 31,187,710.88/5,931.74
  6. Step 6: Final answer
    x = 5,257.77

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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.