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Finding the Fourth Proportional to 3,319.99, 4,976.94 and 1,471.47

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Solution

The fourth proportional to 3,319.99, 4,976.94 and 1,471.47 is: 2,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.99 : 4,976.94 = 1,471.47 : x
  2. Step 2: Convert to fraction form
    3,319.99/4,976.94 = 1,471.47/x
  3. Step 3: Cross multiply
    3,319.99x = 4,976.94 × 1,471.47
  4. Step 4: Simplify right side
    3,319.99x = 7,323,404.76
  5. Step 5: Solve for x
    x = 7,323,404.76/3,319.99
  6. Step 6: Final answer
    x = 2,205.85

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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.