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Finding the Fourth Proportional to 4,776.90, 7,149.15 and 4,193.70

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Solution

The fourth proportional to 4,776.90, 7,149.15 and 4,193.70 is: 6,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.90 : 7,149.15 = 4,193.70 : x
  2. Step 2: Convert to fraction form
    4,776.90/7,149.15 = 4,193.70/x
  3. Step 3: Cross multiply
    4,776.90x = 7,149.15 × 4,193.70
  4. Step 4: Simplify right side
    4,776.90x = 29,981,390.36
  5. Step 5: Solve for x
    x = 29,981,390.36/4,776.90
  6. Step 6: Final answer
    x = 6,276.33

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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.