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Finding the Fourth Proportional to 4,623.40, 6,934.96 and 2,775

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Solution

The fourth proportional to 4,623.40, 6,934.96 and 2,775 is: 4,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.40 : 6,934.96 = 2,775 : x
  2. Step 2: Convert to fraction form
    4,623.40/6,934.96 = 2,775/x
  3. Step 3: Cross multiply
    4,623.40x = 6,934.96 × 2,775
  4. Step 4: Simplify right side
    4,623.40x = 19,244,514
  5. Step 5: Solve for x
    x = 19,244,514/4,623.40
  6. Step 6: Final answer
    x = 4,162.42

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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.