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Finding the Fourth Proportional to 4,774.20, 7,161.77 and 1,264.20

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Solution

The fourth proportional to 4,774.20, 7,161.77 and 1,264.20 is: 1,896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.20 : 7,161.77 = 1,264.20 : x
  2. Step 2: Convert to fraction form
    4,774.20/7,161.77 = 1,264.20/x
  3. Step 3: Cross multiply
    4,774.20x = 7,161.77 × 1,264.20
  4. Step 4: Simplify right side
    4,774.20x = 9,053,909.63
  5. Step 5: Solve for x
    x = 9,053,909.63/4,774.20
  6. Step 6: Final answer
    x = 1,896.42

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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.