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Finding the Fourth Proportional to 4,138.58, 5,711.06 and 2,370.34

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Solution

The fourth proportional to 4,138.58, 5,711.06 and 2,370.34 is: 3,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.58 : 5,711.06 = 2,370.34 : x
  2. Step 2: Convert to fraction form
    4,138.58/5,711.06 = 2,370.34/x
  3. Step 3: Cross multiply
    4,138.58x = 5,711.06 × 2,370.34
  4. Step 4: Simplify right side
    4,138.58x = 13,537,153.96
  5. Step 5: Solve for x
    x = 13,537,153.96/4,138.58
  6. Step 6: Final answer
    x = 3,270.97

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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.