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Finding the Fourth Proportional to 4,857.81, 7,294.01 and 2,780.16

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Solution

The fourth proportional to 4,857.81, 7,294.01 and 2,780.16 is: 4,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.81 : 7,294.01 = 2,780.16 : x
  2. Step 2: Convert to fraction form
    4,857.81/7,294.01 = 2,780.16/x
  3. Step 3: Cross multiply
    4,857.81x = 7,294.01 × 2,780.16
  4. Step 4: Simplify right side
    4,857.81x = 20,278,514.84
  5. Step 5: Solve for x
    x = 20,278,514.84/4,857.81
  6. Step 6: Final answer
    x = 4,174.41

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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.