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Finding the Fourth Proportional to 4,068.82, 6,103.84 and 1,294.58

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Solution

The fourth proportional to 4,068.82, 6,103.84 and 1,294.58 is: 1,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.82 : 6,103.84 = 1,294.58 : x
  2. Step 2: Convert to fraction form
    4,068.82/6,103.84 = 1,294.58/x
  3. Step 3: Cross multiply
    4,068.82x = 6,103.84 × 1,294.58
  4. Step 4: Simplify right side
    4,068.82x = 7,901,909.19
  5. Step 5: Solve for x
    x = 7,901,909.19/4,068.82
  6. Step 6: Final answer
    x = 1,942.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.