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Finding the Fourth Proportional to 3,911.64, 5,397.84 and 2,142.90

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Solution

The fourth proportional to 3,911.64, 5,397.84 and 2,142.90 is: 2,957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.64 : 5,397.84 = 2,142.90 : x
  2. Step 2: Convert to fraction form
    3,911.64/5,397.84 = 2,142.90/x
  3. Step 3: Cross multiply
    3,911.64x = 5,397.84 × 2,142.90
  4. Step 4: Simplify right side
    3,911.64x = 11,567,031.34
  5. Step 5: Solve for x
    x = 11,567,031.34/3,911.64
  6. Step 6: Final answer
    x = 2,957.08

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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.