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Finding the Fourth Proportional to 3,848.34, 5,308.05 and 2,354.34

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Solution

The fourth proportional to 3,848.34, 5,308.05 and 2,354.34 is: 3,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.34 : 5,308.05 = 2,354.34 : x
  2. Step 2: Convert to fraction form
    3,848.34/5,308.05 = 2,354.34/x
  3. Step 3: Cross multiply
    3,848.34x = 5,308.05 × 2,354.34
  4. Step 4: Simplify right side
    3,848.34x = 12,496,954.44
  5. Step 5: Solve for x
    x = 12,496,954.44/3,848.34
  6. Step 6: Final answer
    x = 3,247.36

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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.