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Finding the Fourth Proportional to 3,911.70, 5,397.93 and 2,142.96

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Solution

The fourth proportional to 3,911.70, 5,397.93 and 2,142.96 is: 2,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.70 : 5,397.93 = 2,142.96 : x
  2. Step 2: Convert to fraction form
    3,911.70/5,397.93 = 2,142.96/x
  3. Step 3: Cross multiply
    3,911.70x = 5,397.93 × 2,142.96
  4. Step 4: Simplify right side
    3,911.70x = 11,567,521.08
  5. Step 5: Solve for x
    x = 11,567,521.08/3,911.70
  6. Step 6: Final answer
    x = 2,957.16

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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.