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Finding the Fourth Proportional to 3,375.40, 4,658.08 and 2,116.96

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Solution

The fourth proportional to 3,375.40, 4,658.08 and 2,116.96 is: 2,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.40 : 4,658.08 = 2,116.96 : x
  2. Step 2: Convert to fraction form
    3,375.40/4,658.08 = 2,116.96/x
  3. Step 3: Cross multiply
    3,375.40x = 4,658.08 × 2,116.96
  4. Step 4: Simplify right side
    3,375.40x = 9,860,969.04
  5. Step 5: Solve for x
    x = 9,860,969.04/3,375.40
  6. Step 6: Final answer
    x = 2,921.42

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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.