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Finding the Fourth Proportional to 6,438.70, 8,885.62 and 3,786.35

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Solution

The fourth proportional to 6,438.70, 8,885.62 and 3,786.35 is: 5,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.70 : 8,885.62 = 3,786.35 : x
  2. Step 2: Convert to fraction form
    6,438.70/8,885.62 = 3,786.35/x
  3. Step 3: Cross multiply
    6,438.70x = 8,885.62 × 3,786.35
  4. Step 4: Simplify right side
    6,438.70x = 33,644,094.23
  5. Step 5: Solve for x
    x = 33,644,094.23/6,438.70
  6. Step 6: Final answer
    x = 5,225.30

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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.