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Finding the Fourth Proportional to 4,774.85, 7,164.89 and 1,853.27

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Solution

The fourth proportional to 4,774.85, 7,164.89 and 1,853.27 is: 2,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.85 : 7,164.89 = 1,853.27 : x
  2. Step 2: Convert to fraction form
    4,774.85/7,164.89 = 1,853.27/x
  3. Step 3: Cross multiply
    4,774.85x = 7,164.89 × 1,853.27
  4. Step 4: Simplify right side
    4,774.85x = 13,278,475.69
  5. Step 5: Solve for x
    x = 13,278,475.69/4,774.85
  6. Step 6: Final answer
    x = 2,780.92

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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.