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Finding the Fourth Proportional to 4,269.38, 6,405.14 and 1,191.38

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Solution

The fourth proportional to 4,269.38, 6,405.14 and 1,191.38 is: 1,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.38 : 6,405.14 = 1,191.38 : x
  2. Step 2: Convert to fraction form
    4,269.38/6,405.14 = 1,191.38/x
  3. Step 3: Cross multiply
    4,269.38x = 6,405.14 × 1,191.38
  4. Step 4: Simplify right side
    4,269.38x = 7,630,926.65
  5. Step 5: Solve for x
    x = 7,630,926.65/4,269.38
  6. Step 6: Final answer
    x = 1,787.36

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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.