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Finding the Fourth Proportional to 3,871.68, 5,342.00 and 3,026.04

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Solution

The fourth proportional to 3,871.68, 5,342.00 and 3,026.04 is: 4,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.68 : 5,342.00 = 3,026.04 : x
  2. Step 2: Convert to fraction form
    3,871.68/5,342.00 = 3,026.04/x
  3. Step 3: Cross multiply
    3,871.68x = 5,342.00 × 3,026.04
  4. Step 4: Simplify right side
    3,871.68x = 16,165,090.55
  5. Step 5: Solve for x
    x = 16,165,090.55/3,871.68
  6. Step 6: Final answer
    x = 4,175.21

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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.