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Finding the Fourth Proportional to 4,142.34, 6,168.83 and 4,118.58

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Solution

The fourth proportional to 4,142.34, 6,168.83 and 4,118.58 is: 6,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.34 : 6,168.83 = 4,118.58 : x
  2. Step 2: Convert to fraction form
    4,142.34/6,168.83 = 4,118.58/x
  3. Step 3: Cross multiply
    4,142.34x = 6,168.83 × 4,118.58
  4. Step 4: Simplify right side
    4,142.34x = 25,406,799.27
  5. Step 5: Solve for x
    x = 25,406,799.27/4,142.34
  6. Step 6: Final answer
    x = 6,133.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.